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Finding the Third Proportional to 130,657 and 286,226

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Solution

The third proportional to 130,657 and 286,226 is: 627,025.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,657 : 286,226 = 286,226 : x
  2. Step 2: Convert to fraction form
    130,657/286,226 = 286,226/x
  3. Step 3: Cross multiply
    130,657x = 286,226 × 286,226
  4. Step 4: Simplify right side
    130,657x = 81,925,323,076
  5. Step 5: Solve for x
    x = 81,925,323,076/130,657
  6. Step 6: Final answer
    x = 627,025.90

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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.