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Finding the Third Proportional to 114,310.13 and 176,306.63

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Solution

The third proportional to 114,310.13 and 176,306.63 is: 271,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,310.13 : 176,306.63 = 176,306.63 : x
  2. Step 2: Convert to fraction form
    114,310.13/176,306.63 = 176,306.63/x
  3. Step 3: Cross multiply
    114,310.13x = 176,306.63 × 176,306.63
  4. Step 4: Simplify right side
    114,310.13x = 31,084,026,018.89
  5. Step 5: Solve for x
    x = 31,084,026,018.89/114,310.13
  6. Step 6: Final answer
    x = 271,927.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.