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Finding the Third Proportional to 142,510 and 311,264

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Solution

The third proportional to 142,510 and 311,264 is: 679,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,510 : 311,264 = 311,264 : x
  2. Step 2: Convert to fraction form
    142,510/311,264 = 311,264/x
  3. Step 3: Cross multiply
    142,510x = 311,264 × 311,264
  4. Step 4: Simplify right side
    142,510x = 96,885,277,696
  5. Step 5: Solve for x
    x = 96,885,277,696/142,510
  6. Step 6: Final answer
    x = 679,848.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.