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Finding the Third Proportional to 142,898 and 310,426

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Solution

The third proportional to 142,898 and 310,426 is: 674,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,898 : 310,426 = 310,426 : x
  2. Step 2: Convert to fraction form
    142,898/310,426 = 310,426/x
  3. Step 3: Cross multiply
    142,898x = 310,426 × 310,426
  4. Step 4: Simplify right side
    142,898x = 96,364,301,476
  5. Step 5: Solve for x
    x = 96,364,301,476/142,898
  6. Step 6: Final answer
    x = 674,357.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.