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Finding the Third Proportional to 191,018.25 and 258,499.69

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Solution

The third proportional to 191,018.25 and 258,499.69 is: 349,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,018.25 : 258,499.69 = 258,499.69 : x
  2. Step 2: Convert to fraction form
    191,018.25/258,499.69 = 258,499.69/x
  3. Step 3: Cross multiply
    191,018.25x = 258,499.69 × 258,499.69
  4. Step 4: Simplify right side
    191,018.25x = 66,822,088,437.60
  5. Step 5: Solve for x
    x = 66,822,088,437.60/191,018.25
  6. Step 6: Final answer
    x = 349,820.44

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.