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Finding the Third Proportional to 233,356.78 and 348,546.38

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Solution

The third proportional to 233,356.78 and 348,546.38 is: 520,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,356.78 : 348,546.38 = 348,546.38 : x
  2. Step 2: Convert to fraction form
    233,356.78/348,546.38 = 348,546.38/x
  3. Step 3: Cross multiply
    233,356.78x = 348,546.38 × 348,546.38
  4. Step 4: Simplify right side
    233,356.78x = 121,484,575,525.64
  5. Step 5: Solve for x
    x = 121,484,575,525.64/233,356.78
  6. Step 6: Final answer
    x = 520,595.87

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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.