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Finding the Third Proportional to 174,672 and 277,032

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Solution

The third proportional to 174,672 and 277,032 is: 439,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,672 : 277,032 = 277,032 : x
  2. Step 2: Convert to fraction form
    174,672/277,032 = 277,032/x
  3. Step 3: Cross multiply
    174,672x = 277,032 × 277,032
  4. Step 4: Simplify right side
    174,672x = 76,746,729,024
  5. Step 5: Solve for x
    x = 76,746,729,024/174,672
  6. Step 6: Final answer
    x = 439,376.25

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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.