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Finding the Third Proportional to 130,842 and 291,288

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Solution

The third proportional to 130,842 and 291,288 is: 648,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,842 : 291,288 = 291,288 : x
  2. Step 2: Convert to fraction form
    130,842/291,288 = 291,288/x
  3. Step 3: Cross multiply
    130,842x = 291,288 × 291,288
  4. Step 4: Simplify right side
    130,842x = 84,848,698,944
  5. Step 5: Solve for x
    x = 84,848,698,944/130,842
  6. Step 6: Final answer
    x = 648,482.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.