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Finding the Third Proportional to 295,395.19 and 325,846.13

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Solution

The third proportional to 295,395.19 and 325,846.13 is: 359,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,395.19 : 325,846.13 = 325,846.13 : x
  2. Step 2: Convert to fraction form
    295,395.19/325,846.13 = 325,846.13/x
  3. Step 3: Cross multiply
    295,395.19x = 325,846.13 × 325,846.13
  4. Step 4: Simplify right side
    295,395.19x = 106,175,697,177.52
  5. Step 5: Solve for x
    x = 106,175,697,177.52/295,395.19
  6. Step 6: Final answer
    x = 359,436.11

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.