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Finding the Third Proportional to 196,740.98 and 423,582.33

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Solution

The third proportional to 196,740.98 and 423,582.33 is: 911,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,740.98 : 423,582.33 = 423,582.33 : x
  2. Step 2: Convert to fraction form
    196,740.98/423,582.33 = 423,582.33/x
  3. Step 3: Cross multiply
    196,740.98x = 423,582.33 × 423,582.33
  4. Step 4: Simplify right side
    196,740.98x = 179,421,988,699.80
  5. Step 5: Solve for x
    x = 179,421,988,699.80/196,740.98
  6. Step 6: Final answer
    x = 911,970.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.