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Finding the Third Proportional to 237,053 and 360,187

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Solution

The third proportional to 237,053 and 360,187 is: 547,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,053 : 360,187 = 360,187 : x
  2. Step 2: Convert to fraction form
    237,053/360,187 = 360,187/x
  3. Step 3: Cross multiply
    237,053x = 360,187 × 360,187
  4. Step 4: Simplify right side
    237,053x = 129,734,674,969
  5. Step 5: Solve for x
    x = 129,734,674,969/237,053
  6. Step 6: Final answer
    x = 547,281.30

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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.