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Finding the Third Proportional to 175,312 and 260,264

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Solution

The third proportional to 175,312 and 260,264 is: 386,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,312 : 260,264 = 260,264 : x
  2. Step 2: Convert to fraction form
    175,312/260,264 = 260,264/x
  3. Step 3: Cross multiply
    175,312x = 260,264 × 260,264
  4. Step 4: Simplify right side
    175,312x = 67,737,349,696
  5. Step 5: Solve for x
    x = 67,737,349,696/175,312
  6. Step 6: Final answer
    x = 386,381.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.