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Finding the Third Proportional to 175,020 and 264,133.50

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Solution

The third proportional to 175,020 and 264,133.50 is: 398,620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,020 : 264,133.50 = 264,133.50 : x
  2. Step 2: Convert to fraction form
    175,020/264,133.50 = 264,133.50/x
  3. Step 3: Cross multiply
    175,020x = 264,133.50 × 264,133.50
  4. Step 4: Simplify right side
    175,020x = 69,766,505,822.25
  5. Step 5: Solve for x
    x = 69,766,505,822.25/175,020
  6. Step 6: Final answer
    x = 398,620.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.