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Finding the Third Proportional to 153,829.13 and 323,205.19

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Solution

The third proportional to 153,829.13 and 323,205.19 is: 679,075.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,829.13 : 323,205.19 = 323,205.19 : x
  2. Step 2: Convert to fraction form
    153,829.13/323,205.19 = 323,205.19/x
  3. Step 3: Cross multiply
    153,829.13x = 323,205.19 × 323,205.19
  4. Step 4: Simplify right side
    153,829.13x = 104,461,593,226.91
  5. Step 5: Solve for x
    x = 104,461,593,226.91/153,829.13
  6. Step 6: Final answer
    x = 679,075.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.