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Finding the Third Proportional to 196,870.50 and 429,828

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Solution

The third proportional to 196,870.50 and 429,828 is: 938,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,870.50 : 429,828 = 429,828 : x
  2. Step 2: Convert to fraction form
    196,870.50/429,828 = 429,828/x
  3. Step 3: Cross multiply
    196,870.50x = 429,828 × 429,828
  4. Step 4: Simplify right side
    196,870.50x = 184,752,109,584
  5. Step 5: Solve for x
    x = 184,752,109,584/196,870.50
  6. Step 6: Final answer
    x = 938,444.86

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