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Finding the Third Proportional to 153,184.50 and 314,145

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Solution

The third proportional to 153,184.50 and 314,145 is: 644,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,184.50 : 314,145 = 314,145 : x
  2. Step 2: Convert to fraction form
    153,184.50/314,145 = 314,145/x
  3. Step 3: Cross multiply
    153,184.50x = 314,145 × 314,145
  4. Step 4: Simplify right side
    153,184.50x = 98,687,081,025
  5. Step 5: Solve for x
    x = 98,687,081,025/153,184.50
  6. Step 6: Final answer
    x = 644,236.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.