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Finding the Third Proportional to 146,122.50 and 314,095.50

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Solution

The third proportional to 146,122.50 and 314,095.50 is: 675,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,122.50 : 314,095.50 = 314,095.50 : x
  2. Step 2: Convert to fraction form
    146,122.50/314,095.50 = 314,095.50/x
  3. Step 3: Cross multiply
    146,122.50x = 314,095.50 × 314,095.50
  4. Step 4: Simplify right side
    146,122.50x = 98,655,983,120.25
  5. Step 5: Solve for x
    x = 98,655,983,120.25/146,122.50
  6. Step 6: Final answer
    x = 675,159.43

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Why These Related Problems?

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