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Finding the Third Proportional to 114,468.19 and 248,641.31

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Solution

The third proportional to 114,468.19 and 248,641.31 is: 540,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,468.19 : 248,641.31 = 248,641.31 : x
  2. Step 2: Convert to fraction form
    114,468.19/248,641.31 = 248,641.31/x
  3. Step 3: Cross multiply
    114,468.19x = 248,641.31 × 248,641.31
  4. Step 4: Simplify right side
    114,468.19x = 61,822,502,281.72
  5. Step 5: Solve for x
    x = 61,822,502,281.72/114,468.19
  6. Step 6: Final answer
    x = 540,084.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.