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Finding the Third Proportional to 175,804 and 260,418

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Solution

The third proportional to 175,804 and 260,418 is: 385,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,804 : 260,418 = 260,418 : x
  2. Step 2: Convert to fraction form
    175,804/260,418 = 260,418/x
  3. Step 3: Cross multiply
    175,804x = 260,418 × 260,418
  4. Step 4: Simplify right side
    175,804x = 67,817,534,724
  5. Step 5: Solve for x
    x = 67,817,534,724/175,804
  6. Step 6: Final answer
    x = 385,756.49

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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.