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Finding the Third Proportional to 159,053.47 and 346,094.65

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Solution

The third proportional to 159,053.47 and 346,094.65 is: 753,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,053.47 : 346,094.65 = 346,094.65 : x
  2. Step 2: Convert to fraction form
    159,053.47/346,094.65 = 346,094.65/x
  3. Step 3: Cross multiply
    159,053.47x = 346,094.65 × 346,094.65
  4. Step 4: Simplify right side
    159,053.47x = 119,781,505,677.08
  5. Step 5: Solve for x
    x = 119,781,505,677.08/159,053.47
  6. Step 6: Final answer
    x = 753,089.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.