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Finding the Third Proportional to 191,700.50 and 403,232.25

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Solution

The third proportional to 191,700.50 and 403,232.25 is: 848,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,700.50 : 403,232.25 = 403,232.25 : x
  2. Step 2: Convert to fraction form
    191,700.50/403,232.25 = 403,232.25/x
  3. Step 3: Cross multiply
    191,700.50x = 403,232.25 × 403,232.25
  4. Step 4: Simplify right side
    191,700.50x = 162,596,247,440.06
  5. Step 5: Solve for x
    x = 162,596,247,440.06/191,700.50
  6. Step 6: Final answer
    x = 848,178.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.