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Finding the Third Proportional to 142,646 and 301,209

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Solution

The third proportional to 142,646 and 301,209 is: 636,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,646 : 301,209 = 301,209 : x
  2. Step 2: Convert to fraction form
    142,646/301,209 = 301,209/x
  3. Step 3: Cross multiply
    142,646x = 301,209 × 301,209
  4. Step 4: Simplify right side
    142,646x = 90,726,861,681
  5. Step 5: Solve for x
    x = 90,726,861,681/142,646
  6. Step 6: Final answer
    x = 636,028.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.