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Finding the Third Proportional to 235,132.88 and 358,200.56

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Solution

The third proportional to 235,132.88 and 358,200.56 is: 545,681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,132.88 : 358,200.56 = 358,200.56 : x
  2. Step 2: Convert to fraction form
    235,132.88/358,200.56 = 358,200.56/x
  3. Step 3: Cross multiply
    235,132.88x = 358,200.56 × 358,200.56
  4. Step 4: Simplify right side
    235,132.88x = 128,307,642,975.32
  5. Step 5: Solve for x
    x = 128,307,642,975.32/235,132.88
  6. Step 6: Final answer
    x = 545,681.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.