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Finding the Third Proportional to 187,927.50 and 409,772.50

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Solution

The third proportional to 187,927.50 and 409,772.50 is: 893,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,927.50 : 409,772.50 = 409,772.50 : x
  2. Step 2: Convert to fraction form
    187,927.50/409,772.50 = 409,772.50/x
  3. Step 3: Cross multiply
    187,927.50x = 409,772.50 × 409,772.50
  4. Step 4: Simplify right side
    187,927.50x = 167,913,501,756.25
  5. Step 5: Solve for x
    x = 167,913,501,756.25/187,927.50
  6. Step 6: Final answer
    x = 893,501.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.