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Finding the Third Proportional to 174,943 and 278,502

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Solution

The third proportional to 174,943 and 278,502 is: 443,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,943 : 278,502 = 278,502 : x
  2. Step 2: Convert to fraction form
    174,943/278,502 = 278,502/x
  3. Step 3: Cross multiply
    174,943x = 278,502 × 278,502
  4. Step 4: Simplify right side
    174,943x = 77,563,364,004
  5. Step 5: Solve for x
    x = 77,563,364,004/174,943
  6. Step 6: Final answer
    x = 443,363.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.