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Finding the Third Proportional to 130,815 and 283,864.50

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Solution

The third proportional to 130,815 and 283,864.50 is: 615,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,815 : 283,864.50 = 283,864.50 : x
  2. Step 2: Convert to fraction form
    130,815/283,864.50 = 283,864.50/x
  3. Step 3: Cross multiply
    130,815x = 283,864.50 × 283,864.50
  4. Step 4: Simplify right side
    130,815x = 80,579,054,360.25
  5. Step 5: Solve for x
    x = 80,579,054,360.25/130,815
  6. Step 6: Final answer
    x = 615,977.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.