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Finding the Third Proportional to 130,584 and 285,774

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Solution

The third proportional to 130,584 and 285,774 is: 625,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,584 : 285,774 = 285,774 : x
  2. Step 2: Convert to fraction form
    130,584/285,774 = 285,774/x
  3. Step 3: Cross multiply
    130,584x = 285,774 × 285,774
  4. Step 4: Simplify right side
    130,584x = 81,666,779,076
  5. Step 5: Solve for x
    x = 81,666,779,076/130,584
  6. Step 6: Final answer
    x = 625,396.52

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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.