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Finding the Third Proportional to 195,291 and 427,973.63

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Solution

The third proportional to 195,291 and 427,973.63 is: 937,889.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,291 : 427,973.63 = 427,973.63 : x
  2. Step 2: Convert to fraction form
    195,291/427,973.63 = 427,973.63/x
  3. Step 3: Cross multiply
    195,291x = 427,973.63 × 427,973.63
  4. Step 4: Simplify right side
    195,291x = 183,161,423,695.64
  5. Step 5: Solve for x
    x = 183,161,423,695.64/195,291
  6. Step 6: Final answer
    x = 937,889.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.