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Finding the Third Proportional to 230,040 and 352,341

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Solution

The third proportional to 230,040 and 352,341 is: 539,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,040 : 352,341 = 352,341 : x
  2. Step 2: Convert to fraction form
    230,040/352,341 = 352,341/x
  3. Step 3: Cross multiply
    230,040x = 352,341 × 352,341
  4. Step 4: Simplify right side
    230,040x = 124,144,180,281
  5. Step 5: Solve for x
    x = 124,144,180,281/230,040
  6. Step 6: Final answer
    x = 539,663.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.