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Finding the Third Proportional to 114,689.36 and 247,831.52

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Solution

The third proportional to 114,689.36 and 247,831.52 is: 535,537.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,689.36 : 247,831.52 = 247,831.52 : x
  2. Step 2: Convert to fraction form
    114,689.36/247,831.52 = 247,831.52/x
  3. Step 3: Cross multiply
    114,689.36x = 247,831.52 × 247,831.52
  4. Step 4: Simplify right side
    114,689.36x = 61,420,464,009.35
  5. Step 5: Solve for x
    x = 61,420,464,009.35/114,689.36
  6. Step 6: Final answer
    x = 535,537.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.