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Finding the Third Proportional to 140,024 and 217,070

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Solution

The third proportional to 140,024 and 217,070 is: 336,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,024 : 217,070 = 217,070 : x
  2. Step 2: Convert to fraction form
    140,024/217,070 = 217,070/x
  3. Step 3: Cross multiply
    140,024x = 217,070 × 217,070
  4. Step 4: Simplify right side
    140,024x = 47,119,384,900
  5. Step 5: Solve for x
    x = 47,119,384,900/140,024
  6. Step 6: Final answer
    x = 336,509.35

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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.