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Finding the Third Proportional to 114,830 and 163,314

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Solution

The third proportional to 114,830 and 163,314 is: 232,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,830 : 163,314 = 163,314 : x
  2. Step 2: Convert to fraction form
    114,830/163,314 = 163,314/x
  3. Step 3: Cross multiply
    114,830x = 163,314 × 163,314
  4. Step 4: Simplify right side
    114,830x = 26,671,462,596
  5. Step 5: Solve for x
    x = 26,671,462,596/114,830
  6. Step 6: Final answer
    x = 232,269.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.