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Finding the Third Proportional to 140,582 and 224,841

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Solution

The third proportional to 140,582 and 224,841 is: 359,601.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,582 : 224,841 = 224,841 : x
  2. Step 2: Convert to fraction form
    140,582/224,841 = 224,841/x
  3. Step 3: Cross multiply
    140,582x = 224,841 × 224,841
  4. Step 4: Simplify right side
    140,582x = 50,553,475,281
  5. Step 5: Solve for x
    x = 50,553,475,281/140,582
  6. Step 6: Final answer
    x = 359,601.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.