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Finding the Third Proportional to 239,051 and 349,959

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Solution

The third proportional to 239,051 and 349,959 is: 512,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,051 : 349,959 = 349,959 : x
  2. Step 2: Convert to fraction form
    239,051/349,959 = 349,959/x
  3. Step 3: Cross multiply
    239,051x = 349,959 × 349,959
  4. Step 4: Simplify right side
    239,051x = 122,471,301,681
  5. Step 5: Solve for x
    x = 122,471,301,681/239,051
  6. Step 6: Final answer
    x = 512,322.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.