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Finding the Third Proportional to 163,830.94 and 357,445.69

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Solution

The third proportional to 163,830.94 and 357,445.69 is: 779,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,830.94 : 357,445.69 = 357,445.69 : x
  2. Step 2: Convert to fraction form
    163,830.94/357,445.69 = 357,445.69/x
  3. Step 3: Cross multiply
    163,830.94x = 357,445.69 × 357,445.69
  4. Step 4: Simplify right side
    163,830.94x = 127,767,419,512.35
  5. Step 5: Solve for x
    x = 127,767,419,512.35/163,830.94
  6. Step 6: Final answer
    x = 779,873.58

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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.