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Finding the Third Proportional to 146,095.50 and 314,385

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Solution

The third proportional to 146,095.50 and 314,385 is: 676,529.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,095.50 : 314,385 = 314,385 : x
  2. Step 2: Convert to fraction form
    146,095.50/314,385 = 314,385/x
  3. Step 3: Cross multiply
    146,095.50x = 314,385 × 314,385
  4. Step 4: Simplify right side
    146,095.50x = 98,837,928,225
  5. Step 5: Solve for x
    x = 98,837,928,225/146,095.50
  6. Step 6: Final answer
    x = 676,529.59

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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.