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Finding the Third Proportional to 130,848 and 282,420

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Solution

The third proportional to 130,848 and 282,420 is: 609,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,848 : 282,420 = 282,420 : x
  2. Step 2: Convert to fraction form
    130,848/282,420 = 282,420/x
  3. Step 3: Cross multiply
    130,848x = 282,420 × 282,420
  4. Step 4: Simplify right side
    130,848x = 79,761,056,400
  5. Step 5: Solve for x
    x = 79,761,056,400/130,848
  6. Step 6: Final answer
    x = 609,570.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.