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Finding the Third Proportional to 173,298 and 359,748

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Solution

The third proportional to 173,298 and 359,748 is: 746,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,298 : 359,748 = 359,748 : x
  2. Step 2: Convert to fraction form
    173,298/359,748 = 359,748/x
  3. Step 3: Cross multiply
    173,298x = 359,748 × 359,748
  4. Step 4: Simplify right side
    173,298x = 129,418,623,504
  5. Step 5: Solve for x
    x = 129,418,623,504/173,298
  6. Step 6: Final answer
    x = 746,798.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.