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Finding the Third Proportional to 174,776 and 374,464

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Solution

The third proportional to 174,776 and 374,464 is: 802,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,776 : 374,464 = 374,464 : x
  2. Step 2: Convert to fraction form
    174,776/374,464 = 374,464/x
  3. Step 3: Cross multiply
    174,776x = 374,464 × 374,464
  4. Step 4: Simplify right side
    174,776x = 140,223,287,296
  5. Step 5: Solve for x
    x = 140,223,287,296/174,776
  6. Step 6: Final answer
    x = 802,302.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.