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Finding the Third Proportional to 195,331.50 and 423,090

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Solution

The third proportional to 195,331.50 and 423,090 is: 916,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,331.50 : 423,090 = 423,090 : x
  2. Step 2: Convert to fraction form
    195,331.50/423,090 = 423,090/x
  3. Step 3: Cross multiply
    195,331.50x = 423,090 × 423,090
  4. Step 4: Simplify right side
    195,331.50x = 179,005,148,100
  5. Step 5: Solve for x
    x = 179,005,148,100/195,331.50
  6. Step 6: Final answer
    x = 916,417.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.