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Finding the Third Proportional to 231,628 and 367,070

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Solution

The third proportional to 231,628 and 367,070 is: 581,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,628 : 367,070 = 367,070 : x
  2. Step 2: Convert to fraction form
    231,628/367,070 = 367,070/x
  3. Step 3: Cross multiply
    231,628x = 367,070 × 367,070
  4. Step 4: Simplify right side
    231,628x = 134,740,384,900
  5. Step 5: Solve for x
    x = 134,740,384,900/231,628
  6. Step 6: Final answer
    x = 581,710.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.