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Finding the Third Proportional to 160,222 and 249,082

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Solution

The third proportional to 160,222 and 249,082 is: 387,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,222 : 249,082 = 249,082 : x
  2. Step 2: Convert to fraction form
    160,222/249,082 = 249,082/x
  3. Step 3: Cross multiply
    160,222x = 249,082 × 249,082
  4. Step 4: Simplify right side
    160,222x = 62,041,842,724
  5. Step 5: Solve for x
    x = 62,041,842,724/160,222
  6. Step 6: Final answer
    x = 387,224.24

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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.