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Finding the Third Proportional to 173,872.50 and 370,710.75

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Solution

The third proportional to 173,872.50 and 370,710.75 is: 790,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,872.50 : 370,710.75 = 370,710.75 : x
  2. Step 2: Convert to fraction form
    173,872.50/370,710.75 = 370,710.75/x
  3. Step 3: Cross multiply
    173,872.50x = 370,710.75 × 370,710.75
  4. Step 4: Simplify right side
    173,872.50x = 137,426,460,165.56
  5. Step 5: Solve for x
    x = 137,426,460,165.56/173,872.50
  6. Step 6: Final answer
    x = 790,386.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.