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Finding the Third Proportional to 236,470.50 and 357,160.50

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Solution

The third proportional to 236,470.50 and 357,160.50 is: 539,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,470.50 : 357,160.50 = 357,160.50 : x
  2. Step 2: Convert to fraction form
    236,470.50/357,160.50 = 357,160.50/x
  3. Step 3: Cross multiply
    236,470.50x = 357,160.50 × 357,160.50
  4. Step 4: Simplify right side
    236,470.50x = 127,563,622,760.25
  5. Step 5: Solve for x
    x = 127,563,622,760.25/236,470.50
  6. Step 6: Final answer
    x = 539,448.36

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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.