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Finding the Third Proportional to 175,301 and 250,658

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Solution

The third proportional to 175,301 and 250,658 is: 358,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,301 : 250,658 = 250,658 : x
  2. Step 2: Convert to fraction form
    175,301/250,658 = 250,658/x
  3. Step 3: Cross multiply
    175,301x = 250,658 × 250,658
  4. Step 4: Simplify right side
    175,301x = 62,829,432,964
  5. Step 5: Solve for x
    x = 62,829,432,964/175,301
  6. Step 6: Final answer
    x = 358,408.87

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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.