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Finding the Third Proportional to 175,464 and 250,074

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Solution

The third proportional to 175,464 and 250,074 is: 356,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,464 : 250,074 = 250,074 : x
  2. Step 2: Convert to fraction form
    175,464/250,074 = 250,074/x
  3. Step 3: Cross multiply
    175,464x = 250,074 × 250,074
  4. Step 4: Simplify right side
    175,464x = 62,537,005,476
  5. Step 5: Solve for x
    x = 62,537,005,476/175,464
  6. Step 6: Final answer
    x = 356,409.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.