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Finding the Third Proportional to 135,232 and 287,230

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Solution

The third proportional to 135,232 and 287,230 is: 610,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,232 : 287,230 = 287,230 : x
  2. Step 2: Convert to fraction form
    135,232/287,230 = 287,230/x
  3. Step 3: Cross multiply
    135,232x = 287,230 × 287,230
  4. Step 4: Simplify right side
    135,232x = 82,501,072,900
  5. Step 5: Solve for x
    x = 82,501,072,900/135,232
  6. Step 6: Final answer
    x = 610,070.64

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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.