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Finding the Third Proportional to 238,109.63 and 357,134.06

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Solution

The third proportional to 238,109.63 and 357,134.06 is: 535,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,109.63 : 357,134.06 = 357,134.06 : x
  2. Step 2: Convert to fraction form
    238,109.63/357,134.06 = 357,134.06/x
  3. Step 3: Cross multiply
    238,109.63x = 357,134.06 × 357,134.06
  4. Step 4: Simplify right side
    238,109.63x = 127,544,738,597.75
  5. Step 5: Solve for x
    x = 127,544,738,597.75/238,109.63
  6. Step 6: Final answer
    x = 535,655.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.