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Finding the Third Proportional to 142,906 and 310,922

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Solution

The third proportional to 142,906 and 310,922 is: 676,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,906 : 310,922 = 310,922 : x
  2. Step 2: Convert to fraction form
    142,906/310,922 = 310,922/x
  3. Step 3: Cross multiply
    142,906x = 310,922 × 310,922
  4. Step 4: Simplify right side
    142,906x = 96,672,490,084
  5. Step 5: Solve for x
    x = 96,672,490,084/142,906
  6. Step 6: Final answer
    x = 676,476.08

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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.