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Finding the Third Proportional to 196,467.50 and 429,714

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Solution

The third proportional to 196,467.50 and 429,714 is: 939,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,467.50 : 429,714 = 429,714 : x
  2. Step 2: Convert to fraction form
    196,467.50/429,714 = 429,714/x
  3. Step 3: Cross multiply
    196,467.50x = 429,714 × 429,714
  4. Step 4: Simplify right side
    196,467.50x = 184,654,121,796
  5. Step 5: Solve for x
    x = 184,654,121,796/196,467.50
  6. Step 6: Final answer
    x = 939,871.08

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