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Finding the Third Proportional to 192,801.10 and 417,779.29

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Solution

The third proportional to 192,801.10 and 417,779.29 is: 905,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,801.10 : 417,779.29 = 417,779.29 : x
  2. Step 2: Convert to fraction form
    192,801.10/417,779.29 = 417,779.29/x
  3. Step 3: Cross multiply
    192,801.10x = 417,779.29 × 417,779.29
  4. Step 4: Simplify right side
    192,801.10x = 174,539,537,225.49
  5. Step 5: Solve for x
    x = 174,539,537,225.49/192,801.10
  6. Step 6: Final answer
    x = 905,282.89

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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.