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Finding the Third Proportional to 140,440 and 292,548

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Solution

The third proportional to 140,440 and 292,548 is: 609,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,440 : 292,548 = 292,548 : x
  2. Step 2: Convert to fraction form
    140,440/292,548 = 292,548/x
  3. Step 3: Cross multiply
    140,440x = 292,548 × 292,548
  4. Step 4: Simplify right side
    140,440x = 85,584,332,304
  5. Step 5: Solve for x
    x = 85,584,332,304/140,440
  6. Step 6: Final answer
    x = 609,401.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.