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Finding the Third Proportional to 237,555 and 348,543

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Solution

The third proportional to 237,555 and 348,543 is: 511,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,555 : 348,543 = 348,543 : x
  2. Step 2: Convert to fraction form
    237,555/348,543 = 348,543/x
  3. Step 3: Cross multiply
    237,555x = 348,543 × 348,543
  4. Step 4: Simplify right side
    237,555x = 121,482,222,849
  5. Step 5: Solve for x
    x = 121,482,222,849/237,555
  6. Step 6: Final answer
    x = 511,385.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.