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Finding the Third Proportional to 236,530.13 and 357,255.56

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Solution

The third proportional to 236,530.13 and 357,255.56 is: 539,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,530.13 : 357,255.56 = 357,255.56 : x
  2. Step 2: Convert to fraction form
    236,530.13/357,255.56 = 357,255.56/x
  3. Step 3: Cross multiply
    236,530.13x = 357,255.56 × 357,255.56
  4. Step 4: Simplify right side
    236,530.13x = 127,631,536,937.19
  5. Step 5: Solve for x
    x = 127,631,536,937.19/236,530.13
  6. Step 6: Final answer
    x = 539,599.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.