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Finding the Third Proportional to 149,830.13 and 327,271.13

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Solution

The third proportional to 149,830.13 and 327,271.13 is: 714,852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,830.13 : 327,271.13 = 327,271.13 : x
  2. Step 2: Convert to fraction form
    149,830.13/327,271.13 = 327,271.13/x
  3. Step 3: Cross multiply
    149,830.13x = 327,271.13 × 327,271.13
  4. Step 4: Simplify right side
    149,830.13x = 107,106,389,258.77
  5. Step 5: Solve for x
    x = 107,106,389,258.77/149,830.13
  6. Step 6: Final answer
    x = 714,852.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.