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Finding the Third Proportional to 147,460.50 and 322,518.19

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Solution

The third proportional to 147,460.50 and 322,518.19 is: 705,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,460.50 : 322,518.19 = 322,518.19 : x
  2. Step 2: Convert to fraction form
    147,460.50/322,518.19 = 322,518.19/x
  3. Step 3: Cross multiply
    147,460.50x = 322,518.19 × 322,518.19
  4. Step 4: Simplify right side
    147,460.50x = 104,017,981,268.29
  5. Step 5: Solve for x
    x = 104,017,981,268.29/147,460.50
  6. Step 6: Final answer
    x = 705,395.56

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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.