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Finding the Third Proportional to 160,444 and 249,441

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Solution

The third proportional to 160,444 and 249,441 is: 387,803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,444 : 249,441 = 249,441 : x
  2. Step 2: Convert to fraction form
    160,444/249,441 = 249,441/x
  3. Step 3: Cross multiply
    160,444x = 249,441 × 249,441
  4. Step 4: Simplify right side
    160,444x = 62,220,812,481
  5. Step 5: Solve for x
    x = 62,220,812,481/160,444
  6. Step 6: Final answer
    x = 387,803.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.