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Finding the Third Proportional to 160,614 and 249,822

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Solution

The third proportional to 160,614 and 249,822 is: 388,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,614 : 249,822 = 249,822 : x
  2. Step 2: Convert to fraction form
    160,614/249,822 = 249,822/x
  3. Step 3: Cross multiply
    160,614x = 249,822 × 249,822
  4. Step 4: Simplify right side
    160,614x = 62,411,031,684
  5. Step 5: Solve for x
    x = 62,411,031,684/160,614
  6. Step 6: Final answer
    x = 388,577.78

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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.