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Finding the Third Proportional to 146,117.25 and 314,806.50

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Solution

The third proportional to 146,117.25 and 314,806.50 is: 678,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,117.25 : 314,806.50 = 314,806.50 : x
  2. Step 2: Convert to fraction form
    146,117.25/314,806.50 = 314,806.50/x
  3. Step 3: Cross multiply
    146,117.25x = 314,806.50 × 314,806.50
  4. Step 4: Simplify right side
    146,117.25x = 99,103,132,442.25
  5. Step 5: Solve for x
    x = 99,103,132,442.25/146,117.25
  6. Step 6: Final answer
    x = 678,243.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.