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Finding the Third Proportional to 233,948.25 and 349,363.13

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Solution

The third proportional to 233,948.25 and 349,363.13 is: 521,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,948.25 : 349,363.13 = 349,363.13 : x
  2. Step 2: Convert to fraction form
    233,948.25/349,363.13 = 349,363.13/x
  3. Step 3: Cross multiply
    233,948.25x = 349,363.13 × 349,363.13
  4. Step 4: Simplify right side
    233,948.25x = 122,054,593,109.77
  5. Step 5: Solve for x
    x = 122,054,593,109.77/233,948.25
  6. Step 6: Final answer
    x = 521,716.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.