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Finding the Third Proportional to 82,998 and 180,069.75

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Solution

The third proportional to 82,998 and 180,069.75 is: 390,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,998 : 180,069.75 = 180,069.75 : x
  2. Step 2: Convert to fraction form
    82,998/180,069.75 = 180,069.75/x
  3. Step 3: Cross multiply
    82,998x = 180,069.75 × 180,069.75
  4. Step 4: Simplify right side
    82,998x = 32,425,114,865.06
  5. Step 5: Solve for x
    x = 32,425,114,865.06/82,998
  6. Step 6: Final answer
    x = 390,673.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.