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Finding the Third Proportional to 70,209 and 161,266.50

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Solution

The third proportional to 70,209 and 161,266.50 is: 370,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,209 : 161,266.50 = 161,266.50 : x
  2. Step 2: Convert to fraction form
    70,209/161,266.50 = 161,266.50/x
  3. Step 3: Cross multiply
    70,209x = 161,266.50 × 161,266.50
  4. Step 4: Simplify right side
    70,209x = 26,006,884,022.25
  5. Step 5: Solve for x
    x = 26,006,884,022.25/70,209
  6. Step 6: Final answer
    x = 370,420.94

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.