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Finding the Third Proportional to 147,878 and 229,402

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Solution

The third proportional to 147,878 and 229,402 is: 355,869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,878 : 229,402 = 229,402 : x
  2. Step 2: Convert to fraction form
    147,878/229,402 = 229,402/x
  3. Step 3: Cross multiply
    147,878x = 229,402 × 229,402
  4. Step 4: Simplify right side
    147,878x = 52,625,277,604
  5. Step 5: Solve for x
    x = 52,625,277,604/147,878
  6. Step 6: Final answer
    x = 355,869.55

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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.