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Finding the Third Proportional to 140,564 and 223,359

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Solution

The third proportional to 140,564 and 223,359 is: 354,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,564 : 223,359 = 223,359 : x
  2. Step 2: Convert to fraction form
    140,564/223,359 = 223,359/x
  3. Step 3: Cross multiply
    140,564x = 223,359 × 223,359
  4. Step 4: Simplify right side
    140,564x = 49,889,242,881
  5. Step 5: Solve for x
    x = 49,889,242,881/140,564
  6. Step 6: Final answer
    x = 354,921.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.