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Finding the Third Proportional to 130,731 and 277,159

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Solution

The third proportional to 130,731 and 277,159 is: 587,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,731 : 277,159 = 277,159 : x
  2. Step 2: Convert to fraction form
    130,731/277,159 = 277,159/x
  3. Step 3: Cross multiply
    130,731x = 277,159 × 277,159
  4. Step 4: Simplify right side
    130,731x = 76,817,111,281
  5. Step 5: Solve for x
    x = 76,817,111,281/130,731
  6. Step 6: Final answer
    x = 587,596.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.