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Finding the Third Proportional to 130,346 and 285,600

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Solution

The third proportional to 130,346 and 285,600 is: 625,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,346 : 285,600 = 285,600 : x
  2. Step 2: Convert to fraction form
    130,346/285,600 = 285,600/x
  3. Step 3: Cross multiply
    130,346x = 285,600 × 285,600
  4. Step 4: Simplify right side
    130,346x = 81,567,360,000
  5. Step 5: Solve for x
    x = 81,567,360,000/130,346
  6. Step 6: Final answer
    x = 625,775.70

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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.