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Finding the Third Proportional to 114,792 and 252,304

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Solution

The third proportional to 114,792 and 252,304 is: 554,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,792 : 252,304 = 252,304 : x
  2. Step 2: Convert to fraction form
    114,792/252,304 = 252,304/x
  3. Step 3: Cross multiply
    114,792x = 252,304 × 252,304
  4. Step 4: Simplify right side
    114,792x = 63,657,308,416
  5. Step 5: Solve for x
    x = 63,657,308,416/114,792
  6. Step 6: Final answer
    x = 554,544.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.