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Finding the Third Proportional to 147,350.63 and 322,285.50

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Solution

The third proportional to 147,350.63 and 322,285.50 is: 704,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,350.63 : 322,285.50 = 322,285.50 : x
  2. Step 2: Convert to fraction form
    147,350.63/322,285.50 = 322,285.50/x
  3. Step 3: Cross multiply
    147,350.63x = 322,285.50 × 322,285.50
  4. Step 4: Simplify right side
    147,350.63x = 103,867,943,510.25
  5. Step 5: Solve for x
    x = 103,867,943,510.25/147,350.63
  6. Step 6: Final answer
    x = 704,903.31

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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.