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Finding the Third Proportional to 157,530.75 and 345,681

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Solution

The third proportional to 157,530.75 and 345,681 is: 758,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,530.75 : 345,681 = 345,681 : x
  2. Step 2: Convert to fraction form
    157,530.75/345,681 = 345,681/x
  3. Step 3: Cross multiply
    157,530.75x = 345,681 × 345,681
  4. Step 4: Simplify right side
    157,530.75x = 119,495,353,761
  5. Step 5: Solve for x
    x = 119,495,353,761/157,530.75
  6. Step 6: Final answer
    x = 758,552.56

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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.