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Finding the Third Proportional to 197,821.13 and 292,384.69

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Solution

The third proportional to 197,821.13 and 292,384.69 is: 432,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,821.13 : 292,384.69 = 292,384.69 : x
  2. Step 2: Convert to fraction form
    197,821.13/292,384.69 = 292,384.69/x
  3. Step 3: Cross multiply
    197,821.13x = 292,384.69 × 292,384.69
  4. Step 4: Simplify right side
    197,821.13x = 85,488,805,484.47
  5. Step 5: Solve for x
    x = 85,488,805,484.47/197,821.13
  6. Step 6: Final answer
    x = 432,152.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.