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Finding the Third Proportional to 160,452 and 249,552

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Solution

The third proportional to 160,452 and 249,552 is: 388,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,452 : 249,552 = 249,552 : x
  2. Step 2: Convert to fraction form
    160,452/249,552 = 249,552/x
  3. Step 3: Cross multiply
    160,452x = 249,552 × 249,552
  4. Step 4: Simplify right side
    160,452x = 62,276,200,704
  5. Step 5: Solve for x
    x = 62,276,200,704/160,452
  6. Step 6: Final answer
    x = 388,129.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.