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Finding the Third Proportional to 169,963 and 249,996

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Solution

The third proportional to 169,963 and 249,996 is: 367,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,963 : 249,996 = 249,996 : x
  2. Step 2: Convert to fraction form
    169,963/249,996 = 249,996/x
  3. Step 3: Cross multiply
    169,963x = 249,996 × 249,996
  4. Step 4: Simplify right side
    169,963x = 62,498,000,016
  5. Step 5: Solve for x
    x = 62,498,000,016/169,963
  6. Step 6: Final answer
    x = 367,715.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.