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Finding the Third Proportional to 169,408 and 249,418

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Solution

The third proportional to 169,408 and 249,418 is: 367,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,408 : 249,418 = 249,418 : x
  2. Step 2: Convert to fraction form
    169,408/249,418 = 249,418/x
  3. Step 3: Cross multiply
    169,408x = 249,418 × 249,418
  4. Step 4: Simplify right side
    169,408x = 62,209,338,724
  5. Step 5: Solve for x
    x = 62,209,338,724/169,408
  6. Step 6: Final answer
    x = 367,216.06

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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.