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Finding the Third Proportional to 130,953.38 and 282,774.38

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Solution

The third proportional to 130,953.38 and 282,774.38 is: 610,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,953.38 : 282,774.38 = 282,774.38 : x
  2. Step 2: Convert to fraction form
    130,953.38/282,774.38 = 282,774.38/x
  3. Step 3: Cross multiply
    130,953.38x = 282,774.38 × 282,774.38
  4. Step 4: Simplify right side
    130,953.38x = 79,961,347,156.64
  5. Step 5: Solve for x
    x = 79,961,347,156.64/130,953.38
  6. Step 6: Final answer
    x = 610,609.29

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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.