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Finding the Third Proportional to 175,952 and 265,432

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Solution

The third proportional to 175,952 and 265,432 is: 400,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,952 : 265,432 = 265,432 : x
  2. Step 2: Convert to fraction form
    175,952/265,432 = 265,432/x
  3. Step 3: Cross multiply
    175,952x = 265,432 × 265,432
  4. Step 4: Simplify right side
    175,952x = 70,454,146,624
  5. Step 5: Solve for x
    x = 70,454,146,624/175,952
  6. Step 6: Final answer
    x = 400,416.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.