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Finding the Third Proportional to 130,333 and 285,614

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Solution

The third proportional to 130,333 and 285,614 is: 625,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,333 : 285,614 = 285,614 : x
  2. Step 2: Convert to fraction form
    130,333/285,614 = 285,614/x
  3. Step 3: Cross multiply
    130,333x = 285,614 × 285,614
  4. Step 4: Simplify right side
    130,333x = 81,575,356,996
  5. Step 5: Solve for x
    x = 81,575,356,996/130,333
  6. Step 6: Final answer
    x = 625,899.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.