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Finding the Third Proportional to 74,319 and 161,758.50

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Solution

The third proportional to 74,319 and 161,758.50 is: 352,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,319 : 161,758.50 = 161,758.50 : x
  2. Step 2: Convert to fraction form
    74,319/161,758.50 = 161,758.50/x
  3. Step 3: Cross multiply
    74,319x = 161,758.50 × 161,758.50
  4. Step 4: Simplify right side
    74,319x = 26,165,812,322.25
  5. Step 5: Solve for x
    x = 26,165,812,322.25/74,319
  6. Step 6: Final answer
    x = 352,074.33

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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.