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Finding the Third Proportional to 74,399.34 and 160,559.72

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Solution

The third proportional to 74,399.34 and 160,559.72 is: 346,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,399.34 : 160,559.72 = 160,559.72 : x
  2. Step 2: Convert to fraction form
    74,399.34/160,559.72 = 160,559.72/x
  3. Step 3: Cross multiply
    74,399.34x = 160,559.72 × 160,559.72
  4. Step 4: Simplify right side
    74,399.34x = 25,779,423,285.08
  5. Step 5: Solve for x
    x = 25,779,423,285.08/74,399.34
  6. Step 6: Final answer
    x = 346,500.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.