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Finding the Third Proportional to 140,971 and 304,106

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Solution

The third proportional to 140,971 and 304,106 is: 656,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,971 : 304,106 = 304,106 : x
  2. Step 2: Convert to fraction form
    140,971/304,106 = 304,106/x
  3. Step 3: Cross multiply
    140,971x = 304,106 × 304,106
  4. Step 4: Simplify right side
    140,971x = 92,480,459,236
  5. Step 5: Solve for x
    x = 92,480,459,236/140,971
  6. Step 6: Final answer
    x = 656,024.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.