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Finding the Third Proportional to 159,968.25 and 350,068.50

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Solution

The third proportional to 159,968.25 and 350,068.50 is: 766,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,968.25 : 350,068.50 = 350,068.50 : x
  2. Step 2: Convert to fraction form
    159,968.25/350,068.50 = 350,068.50/x
  3. Step 3: Cross multiply
    159,968.25x = 350,068.50 × 350,068.50
  4. Step 4: Simplify right side
    159,968.25x = 122,547,954,692.25
  5. Step 5: Solve for x
    x = 122,547,954,692.25/159,968.25
  6. Step 6: Final answer
    x = 766,076.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.