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Finding the Third Proportional to 147,432 and 346,548

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Solution

The third proportional to 147,432 and 346,548 is: 814,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,432 : 346,548 = 346,548 : x
  2. Step 2: Convert to fraction form
    147,432/346,548 = 346,548/x
  3. Step 3: Cross multiply
    147,432x = 346,548 × 346,548
  4. Step 4: Simplify right side
    147,432x = 120,095,516,304
  5. Step 5: Solve for x
    x = 120,095,516,304/147,432
  6. Step 6: Final answer
    x = 814,582.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.