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Finding the Third Proportional to 175,300 and 250,657

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Solution

The third proportional to 175,300 and 250,657 is: 358,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,300 : 250,657 = 250,657 : x
  2. Step 2: Convert to fraction form
    175,300/250,657 = 250,657/x
  3. Step 3: Cross multiply
    175,300x = 250,657 × 250,657
  4. Step 4: Simplify right side
    175,300x = 62,828,931,649
  5. Step 5: Solve for x
    x = 62,828,931,649/175,300
  6. Step 6: Final answer
    x = 358,408.05

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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.