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Finding the Third Proportional to 169,412 and 249,424

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Solution

The third proportional to 169,412 and 249,424 is: 367,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,412 : 249,424 = 249,424 : x
  2. Step 2: Convert to fraction form
    169,412/249,424 = 249,424/x
  3. Step 3: Cross multiply
    169,412x = 249,424 × 249,424
  4. Step 4: Simplify right side
    169,412x = 62,212,331,776
  5. Step 5: Solve for x
    x = 62,212,331,776/169,412
  6. Step 6: Final answer
    x = 367,225.06

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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.