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Finding the Third Proportional to 160,264 and 249,137

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Solution

The third proportional to 160,264 and 249,137 is: 387,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,264 : 249,137 = 249,137 : x
  2. Step 2: Convert to fraction form
    160,264/249,137 = 249,137/x
  3. Step 3: Cross multiply
    160,264x = 249,137 × 249,137
  4. Step 4: Simplify right side
    160,264x = 62,069,244,769
  5. Step 5: Solve for x
    x = 62,069,244,769/160,264
  6. Step 6: Final answer
    x = 387,293.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.