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Finding the Third Proportional to 232,095.38 and 352,884.41

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Solution

The third proportional to 232,095.38 and 352,884.41 is: 536,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,095.38 : 352,884.41 = 352,884.41 : x
  2. Step 2: Convert to fraction form
    232,095.38/352,884.41 = 352,884.41/x
  3. Step 3: Cross multiply
    232,095.38x = 352,884.41 × 352,884.41
  4. Step 4: Simplify right side
    232,095.38x = 124,527,406,931.32
  5. Step 5: Solve for x
    x = 124,527,406,931.32/232,095.38
  6. Step 6: Final answer
    x = 536,535.50

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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.