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Finding the Third Proportional to 149,778 and 326,005.50

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Solution

The third proportional to 149,778 and 326,005.50 is: 709,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,778 : 326,005.50 = 326,005.50 : x
  2. Step 2: Convert to fraction form
    149,778/326,005.50 = 326,005.50/x
  3. Step 3: Cross multiply
    149,778x = 326,005.50 × 326,005.50
  4. Step 4: Simplify right side
    149,778x = 106,279,586,030.25
  5. Step 5: Solve for x
    x = 106,279,586,030.25/149,778
  6. Step 6: Final answer
    x = 709,580.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.