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Finding the Third Proportional to 186,677.50 and 409,643

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Solution

The third proportional to 186,677.50 and 409,643 is: 898,915.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,677.50 : 409,643 = 409,643 : x
  2. Step 2: Convert to fraction form
    186,677.50/409,643 = 409,643/x
  3. Step 3: Cross multiply
    186,677.50x = 409,643 × 409,643
  4. Step 4: Simplify right side
    186,677.50x = 167,807,387,449
  5. Step 5: Solve for x
    x = 167,807,387,449/186,677.50
  6. Step 6: Final answer
    x = 898,915.98

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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.