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Finding the Third Proportional to 160,744.50 and 350,068.50

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Solution

The third proportional to 160,744.50 and 350,068.50 is: 762,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,744.50 : 350,068.50 = 350,068.50 : x
  2. Step 2: Convert to fraction form
    160,744.50/350,068.50 = 350,068.50/x
  3. Step 3: Cross multiply
    160,744.50x = 350,068.50 × 350,068.50
  4. Step 4: Simplify right side
    160,744.50x = 122,547,954,692.25
  5. Step 5: Solve for x
    x = 122,547,954,692.25/160,744.50
  6. Step 6: Final answer
    x = 762,377.28

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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.