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Finding the Third Proportional to 114,301.13 and 277,354.13

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Solution

The third proportional to 114,301.13 and 277,354.13 is: 673,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,301.13 : 277,354.13 = 277,354.13 : x
  2. Step 2: Convert to fraction form
    114,301.13/277,354.13 = 277,354.13/x
  3. Step 3: Cross multiply
    114,301.13x = 277,354.13 × 277,354.13
  4. Step 4: Simplify right side
    114,301.13x = 76,925,310,654.52
  5. Step 5: Solve for x
    x = 76,925,310,654.52/114,301.13
  6. Step 6: Final answer
    x = 673,005.72

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.