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Finding the Third Proportional to 148,493.25 and 358,870.50

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Solution

The third proportional to 148,493.25 and 358,870.50 is: 867,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,493.25 : 358,870.50 = 358,870.50 : x
  2. Step 2: Convert to fraction form
    148,493.25/358,870.50 = 358,870.50/x
  3. Step 3: Cross multiply
    148,493.25x = 358,870.50 × 358,870.50
  4. Step 4: Simplify right side
    148,493.25x = 128,788,035,770.25
  5. Step 5: Solve for x
    x = 128,788,035,770.25/148,493.25
  6. Step 6: Final answer
    x = 867,298.92

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.