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Finding the Third Proportional to 251,875.69 and 532,180.13

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Solution

The third proportional to 251,875.69 and 532,180.13 is: 1,124,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,875.69 : 532,180.13 = 532,180.13 : x
  2. Step 2: Convert to fraction form
    251,875.69/532,180.13 = 532,180.13/x
  3. Step 3: Cross multiply
    251,875.69x = 532,180.13 × 532,180.13
  4. Step 4: Simplify right side
    251,875.69x = 283,215,685,445.02
  5. Step 5: Solve for x
    x = 283,215,685,445.02/251,875.69
  6. Step 6: Final answer
    x = 1,124,426.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.