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Finding the Third Proportional to 187,565.63 and 409,573.13

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Solution

The third proportional to 187,565.63 and 409,573.13 is: 894,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,565.63 : 409,573.13 = 409,573.13 : x
  2. Step 2: Convert to fraction form
    187,565.63/409,573.13 = 409,573.13/x
  3. Step 3: Cross multiply
    187,565.63x = 409,573.13 × 409,573.13
  4. Step 4: Simplify right side
    187,565.63x = 167,750,144,722.27
  5. Step 5: Solve for x
    x = 167,750,144,722.27/187,565.63
  6. Step 6: Final answer
    x = 894,354.41

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Why These Related Problems?

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