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Finding the Third Proportional to 130,248 and 275,724

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Solution

The third proportional to 130,248 and 275,724 is: 583,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,248 : 275,724 = 275,724 : x
  2. Step 2: Convert to fraction form
    130,248/275,724 = 275,724/x
  3. Step 3: Cross multiply
    130,248x = 275,724 × 275,724
  4. Step 4: Simplify right side
    130,248x = 76,023,724,176
  5. Step 5: Solve for x
    x = 76,023,724,176/130,248
  6. Step 6: Final answer
    x = 583,684.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.