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Finding the Third Proportional to 259,326.56 and 385,230.94

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Solution

The third proportional to 259,326.56 and 385,230.94 is: 572,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,326.56 : 385,230.94 = 385,230.94 : x
  2. Step 2: Convert to fraction form
    259,326.56/385,230.94 = 385,230.94/x
  3. Step 3: Cross multiply
    259,326.56x = 385,230.94 × 385,230.94
  4. Step 4: Simplify right side
    259,326.56x = 148,402,875,207.13
  5. Step 5: Solve for x
    x = 148,402,875,207.13/259,326.56
  6. Step 6: Final answer
    x = 572,262.53

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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.