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Finding the Third Proportional to 146,154 and 314,866.50

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Solution

The third proportional to 146,154 and 314,866.50 is: 678,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,154 : 314,866.50 = 314,866.50 : x
  2. Step 2: Convert to fraction form
    146,154/314,866.50 = 314,866.50/x
  3. Step 3: Cross multiply
    146,154x = 314,866.50 × 314,866.50
  4. Step 4: Simplify right side
    146,154x = 99,140,912,822.25
  5. Step 5: Solve for x
    x = 99,140,912,822.25/146,154
  6. Step 6: Final answer
    x = 678,331.85

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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.