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Finding the Third Proportional to 187,128.50 and 409,248.50

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Solution

The third proportional to 187,128.50 and 409,248.50 is: 895,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,128.50 : 409,248.50 = 409,248.50 : x
  2. Step 2: Convert to fraction form
    187,128.50/409,248.50 = 409,248.50/x
  3. Step 3: Cross multiply
    187,128.50x = 409,248.50 × 409,248.50
  4. Step 4: Simplify right side
    187,128.50x = 167,484,334,752.25
  5. Step 5: Solve for x
    x = 167,484,334,752.25/187,128.50
  6. Step 6: Final answer
    x = 895,023.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.