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Finding the Third Proportional to 130,404 and 286,152

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Solution

The third proportional to 130,404 and 286,152 is: 627,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,404 : 286,152 = 286,152 : x
  2. Step 2: Convert to fraction form
    130,404/286,152 = 286,152/x
  3. Step 3: Cross multiply
    130,404x = 286,152 × 286,152
  4. Step 4: Simplify right side
    130,404x = 81,882,967,104
  5. Step 5: Solve for x
    x = 81,882,967,104/130,404
  6. Step 6: Final answer
    x = 627,917.60

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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.