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Finding the Third Proportional to 174,946 and 278,506

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Solution

The third proportional to 174,946 and 278,506 is: 443,368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,946 : 278,506 = 278,506 : x
  2. Step 2: Convert to fraction form
    174,946/278,506 = 278,506/x
  3. Step 3: Cross multiply
    174,946x = 278,506 × 278,506
  4. Step 4: Simplify right side
    174,946x = 77,565,592,036
  5. Step 5: Solve for x
    x = 77,565,592,036/174,946
  6. Step 6: Final answer
    x = 443,368.77

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Why These Related Problems?

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