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Finding the Third Proportional to 173,587.50 and 380,412

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Solution

The third proportional to 173,587.50 and 380,412 is: 833,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,587.50 : 380,412 = 380,412 : x
  2. Step 2: Convert to fraction form
    173,587.50/380,412 = 380,412/x
  3. Step 3: Cross multiply
    173,587.50x = 380,412 × 380,412
  4. Step 4: Simplify right side
    173,587.50x = 144,713,289,744
  5. Step 5: Solve for x
    x = 144,713,289,744/173,587.50
  6. Step 6: Final answer
    x = 833,661.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.