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Finding the Third Proportional to 175,068 and 384,031.13

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Solution

The third proportional to 175,068 and 384,031.13 is: 842,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,068 : 384,031.13 = 384,031.13 : x
  2. Step 2: Convert to fraction form
    175,068/384,031.13 = 384,031.13/x
  3. Step 3: Cross multiply
    175,068x = 384,031.13 × 384,031.13
  4. Step 4: Simplify right side
    175,068x = 147,479,904,968.77
  5. Step 5: Solve for x
    x = 147,479,904,968.77/175,068
  6. Step 6: Final answer
    x = 842,414.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.