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Finding the Third Proportional to 74,307.75 and 160,459.50

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Solution

The third proportional to 74,307.75 and 160,459.50 is: 346,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,307.75 : 160,459.50 = 160,459.50 : x
  2. Step 2: Convert to fraction form
    74,307.75/160,459.50 = 160,459.50/x
  3. Step 3: Cross multiply
    74,307.75x = 160,459.50 × 160,459.50
  4. Step 4: Simplify right side
    74,307.75x = 25,747,251,140.25
  5. Step 5: Solve for x
    x = 25,747,251,140.25/74,307.75
  6. Step 6: Final answer
    x = 346,494.83

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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.