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Finding the Third Proportional to 157,528.13 and 345,674.25

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Solution

The third proportional to 157,528.13 and 345,674.25 is: 758,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,528.13 : 345,674.25 = 345,674.25 : x
  2. Step 2: Convert to fraction form
    157,528.13/345,674.25 = 345,674.25/x
  3. Step 3: Cross multiply
    157,528.13x = 345,674.25 × 345,674.25
  4. Step 4: Simplify right side
    157,528.13x = 119,490,687,113.06
  5. Step 5: Solve for x
    x = 119,490,687,113.06/157,528.13
  6. Step 6: Final answer
    x = 758,535.58

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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.