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Finding the Third Proportional to 118,681.86 and 259,874.71

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Solution

The third proportional to 118,681.86 and 259,874.71 is: 569,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,681.86 : 259,874.71 = 259,874.71 : x
  2. Step 2: Convert to fraction form
    118,681.86/259,874.71 = 259,874.71/x
  3. Step 3: Cross multiply
    118,681.86x = 259,874.71 × 259,874.71
  4. Step 4: Simplify right side
    118,681.86x = 67,534,863,164.25
  5. Step 5: Solve for x
    x = 67,534,863,164.25/118,681.86
  6. Step 6: Final answer
    x = 569,041.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.