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Finding the Third Proportional to 148,044 and 325,612.50

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Solution

The third proportional to 148,044 and 325,612.50 is: 716,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,044 : 325,612.50 = 325,612.50 : x
  2. Step 2: Convert to fraction form
    148,044/325,612.50 = 325,612.50/x
  3. Step 3: Cross multiply
    148,044x = 325,612.50 × 325,612.50
  4. Step 4: Simplify right side
    148,044x = 106,023,500,156.25
  5. Step 5: Solve for x
    x = 106,023,500,156.25/148,044
  6. Step 6: Final answer
    x = 716,162.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.