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Finding the Third Proportional to 175,466 and 250,925

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Solution

The third proportional to 175,466 and 250,925 is: 358,835.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,466 : 250,925 = 250,925 : x
  2. Step 2: Convert to fraction form
    175,466/250,925 = 250,925/x
  3. Step 3: Cross multiply
    175,466x = 250,925 × 250,925
  4. Step 4: Simplify right side
    175,466x = 62,963,355,625
  5. Step 5: Solve for x
    x = 62,963,355,625/175,466
  6. Step 6: Final answer
    x = 358,835.08

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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.