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Finding the Third Proportional to 130,804 and 282,514

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Solution

The third proportional to 130,804 and 282,514 is: 610,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,804 : 282,514 = 282,514 : x
  2. Step 2: Convert to fraction form
    130,804/282,514 = 282,514/x
  3. Step 3: Cross multiply
    130,804x = 282,514 × 282,514
  4. Step 4: Simplify right side
    130,804x = 79,814,160,196
  5. Step 5: Solve for x
    x = 79,814,160,196/130,804
  6. Step 6: Final answer
    x = 610,181.34

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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.