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Finding the Third Proportional to 175,386 and 273,345

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Solution

The third proportional to 175,386 and 273,345 is: 426,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,386 : 273,345 = 273,345 : x
  2. Step 2: Convert to fraction form
    175,386/273,345 = 273,345/x
  3. Step 3: Cross multiply
    175,386x = 273,345 × 273,345
  4. Step 4: Simplify right side
    175,386x = 74,717,489,025
  5. Step 5: Solve for x
    x = 74,717,489,025/175,386
  6. Step 6: Final answer
    x = 426,017.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.