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Finding the Third Proportional to 147,609 and 318,550.50

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Solution

The third proportional to 147,609 and 318,550.50 is: 687,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,609 : 318,550.50 = 318,550.50 : x
  2. Step 2: Convert to fraction form
    147,609/318,550.50 = 318,550.50/x
  3. Step 3: Cross multiply
    147,609x = 318,550.50 × 318,550.50
  4. Step 4: Simplify right side
    147,609x = 101,474,421,050.25
  5. Step 5: Solve for x
    x = 101,474,421,050.25/147,609
  6. Step 6: Final answer
    x = 687,454.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.