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Finding the Third Proportional to 246,042.50 and 314,388.50

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Solution

The third proportional to 246,042.50 and 314,388.50 is: 401,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,042.50 : 314,388.50 = 314,388.50 : x
  2. Step 2: Convert to fraction form
    246,042.50/314,388.50 = 314,388.50/x
  3. Step 3: Cross multiply
    246,042.50x = 314,388.50 × 314,388.50
  4. Step 4: Simplify right side
    246,042.50x = 98,840,128,932.25
  5. Step 5: Solve for x
    x = 98,840,128,932.25/246,042.50
  6. Step 6: Final answer
    x = 401,719.74

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.