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Finding the Third Proportional to 169,354 and 249,352

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Solution

The third proportional to 169,354 and 249,352 is: 367,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,354 : 249,352 = 249,352 : x
  2. Step 2: Convert to fraction form
    169,354/249,352 = 249,352/x
  3. Step 3: Cross multiply
    169,354x = 249,352 × 249,352
  4. Step 4: Simplify right side
    169,354x = 62,176,419,904
  5. Step 5: Solve for x
    x = 62,176,419,904/169,354
  6. Step 6: Final answer
    x = 367,138.77

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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.