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Finding the Third Proportional to 153,957 and 320,158.50

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Solution

The third proportional to 153,957 and 320,158.50 is: 665,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,957 : 320,158.50 = 320,158.50 : x
  2. Step 2: Convert to fraction form
    153,957/320,158.50 = 320,158.50/x
  3. Step 3: Cross multiply
    153,957x = 320,158.50 × 320,158.50
  4. Step 4: Simplify right side
    153,957x = 102,501,465,122.25
  5. Step 5: Solve for x
    x = 102,501,465,122.25/153,957
  6. Step 6: Final answer
    x = 665,779.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.