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Finding the Third Proportional to 130,944 and 282,608

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Solution

The third proportional to 130,944 and 282,608 is: 609,934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,944 : 282,608 = 282,608 : x
  2. Step 2: Convert to fraction form
    130,944/282,608 = 282,608/x
  3. Step 3: Cross multiply
    130,944x = 282,608 × 282,608
  4. Step 4: Simplify right side
    130,944x = 79,867,281,664
  5. Step 5: Solve for x
    x = 79,867,281,664/130,944
  6. Step 6: Final answer
    x = 609,934.64

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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.