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Finding the Third Proportional to 146,005.03 and 319,074.19

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Solution

The third proportional to 146,005.03 and 319,074.19 is: 697,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,005.03 : 319,074.19 = 319,074.19 : x
  2. Step 2: Convert to fraction form
    146,005.03/319,074.19 = 319,074.19/x
  3. Step 3: Cross multiply
    146,005.03x = 319,074.19 × 319,074.19
  4. Step 4: Simplify right side
    146,005.03x = 101,808,337,128.79
  5. Step 5: Solve for x
    x = 101,808,337,128.79/146,005.03
  6. Step 6: Final answer
    x = 697,293.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.