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Finding the Third Proportional to 163,827.75 and 357,300.75

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Solution

The third proportional to 163,827.75 and 357,300.75 is: 779,256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,827.75 : 357,300.75 = 357,300.75 : x
  2. Step 2: Convert to fraction form
    163,827.75/357,300.75 = 357,300.75/x
  3. Step 3: Cross multiply
    163,827.75x = 357,300.75 × 357,300.75
  4. Step 4: Simplify right side
    163,827.75x = 127,663,825,950.56
  5. Step 5: Solve for x
    x = 127,663,825,950.56/163,827.75
  6. Step 6: Final answer
    x = 779,256.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.