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Finding the Third Proportional to 237,559 and 348,549

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Solution

The third proportional to 237,559 and 348,549 is: 511,394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,559 : 348,549 = 348,549 : x
  2. Step 2: Convert to fraction form
    237,559/348,549 = 348,549/x
  3. Step 3: Cross multiply
    237,559x = 348,549 × 348,549
  4. Step 4: Simplify right side
    237,559x = 121,486,405,401
  5. Step 5: Solve for x
    x = 121,486,405,401/237,559
  6. Step 6: Final answer
    x = 511,394.67

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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.