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Finding the Third Proportional to 175,634 and 260,403

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Solution

The third proportional to 175,634 and 260,403 is: 386,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,634 : 260,403 = 260,403 : x
  2. Step 2: Convert to fraction form
    175,634/260,403 = 260,403/x
  3. Step 3: Cross multiply
    175,634x = 260,403 × 260,403
  4. Step 4: Simplify right side
    175,634x = 67,809,722,409
  5. Step 5: Solve for x
    x = 67,809,722,409/175,634
  6. Step 6: Final answer
    x = 386,085.40

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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.