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Finding the Third Proportional to 173,588 and 260,382

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Solution

The third proportional to 173,588 and 260,382 is: 390,573

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,588 : 260,382 = 260,382 : x
  2. Step 2: Convert to fraction form
    173,588/260,382 = 260,382/x
  3. Step 3: Cross multiply
    173,588x = 260,382 × 260,382
  4. Step 4: Simplify right side
    173,588x = 67,798,785,924
  5. Step 5: Solve for x
    x = 67,798,785,924/173,588
  6. Step 6: Final answer
    x = 390,573

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.