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Finding the Third Proportional to 157,522.50 and 345,664.13

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Solution

The third proportional to 157,522.50 and 345,664.13 is: 758,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,522.50 : 345,664.13 = 345,664.13 : x
  2. Step 2: Convert to fraction form
    157,522.50/345,664.13 = 345,664.13/x
  3. Step 3: Cross multiply
    157,522.50x = 345,664.13 × 345,664.13
  4. Step 4: Simplify right side
    157,522.50x = 119,483,687,312.02
  5. Step 5: Solve for x
    x = 119,483,687,312.02/157,522.50
  6. Step 6: Final answer
    x = 758,518.23

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