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Finding the Third Proportional to 175,134 and 277,362

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Solution

The third proportional to 175,134 and 277,362 is: 439,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,134 : 277,362 = 277,362 : x
  2. Step 2: Convert to fraction form
    175,134/277,362 = 277,362/x
  3. Step 3: Cross multiply
    175,134x = 277,362 × 277,362
  4. Step 4: Simplify right side
    175,134x = 76,929,679,044
  5. Step 5: Solve for x
    x = 76,929,679,044/175,134
  6. Step 6: Final answer
    x = 439,261.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.