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Finding the Third Proportional to 237,051 and 360,184

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Solution

The third proportional to 237,051 and 360,184 is: 547,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,051 : 360,184 = 360,184 : x
  2. Step 2: Convert to fraction form
    237,051/360,184 = 360,184/x
  3. Step 3: Cross multiply
    237,051x = 360,184 × 360,184
  4. Step 4: Simplify right side
    237,051x = 129,732,513,856
  5. Step 5: Solve for x
    x = 129,732,513,856/237,051
  6. Step 6: Final answer
    x = 547,276.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.