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Finding the Third Proportional to 175,737.94 and 363,938.06

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Solution

The third proportional to 175,737.94 and 363,938.06 is: 753,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,737.94 : 363,938.06 = 363,938.06 : x
  2. Step 2: Convert to fraction form
    175,737.94/363,938.06 = 363,938.06/x
  3. Step 3: Cross multiply
    175,737.94x = 363,938.06 × 363,938.06
  4. Step 4: Simplify right side
    175,737.94x = 132,450,913,336.25
  5. Step 5: Solve for x
    x = 132,450,913,336.25/175,737.94
  6. Step 6: Final answer
    x = 753,684.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.