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Finding the Third Proportional to 170,330.63 and 264,490.73

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Solution

The third proportional to 170,330.63 and 264,490.73 is: 410,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,330.63 : 264,490.73 = 264,490.73 : x
  2. Step 2: Convert to fraction form
    170,330.63/264,490.73 = 264,490.73/x
  3. Step 3: Cross multiply
    170,330.63x = 264,490.73 × 264,490.73
  4. Step 4: Simplify right side
    170,330.63x = 69,955,348,570.23
  5. Step 5: Solve for x
    x = 69,955,348,570.23/170,330.63
  6. Step 6: Final answer
    x = 410,703.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.