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Finding the Third Proportional to 142,506 and 301,032

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Solution

The third proportional to 142,506 and 301,032 is: 635,904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,506 : 301,032 = 301,032 : x
  2. Step 2: Convert to fraction form
    142,506/301,032 = 301,032/x
  3. Step 3: Cross multiply
    142,506x = 301,032 × 301,032
  4. Step 4: Simplify right side
    142,506x = 90,620,265,024
  5. Step 5: Solve for x
    x = 90,620,265,024/142,506
  6. Step 6: Final answer
    x = 635,904.91

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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.