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Finding the Third Proportional to 196,897.50 and 429,432

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Solution

The third proportional to 196,897.50 and 429,432 is: 936,588.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,897.50 : 429,432 = 429,432 : x
  2. Step 2: Convert to fraction form
    196,897.50/429,432 = 429,432/x
  3. Step 3: Cross multiply
    196,897.50x = 429,432 × 429,432
  4. Step 4: Simplify right side
    196,897.50x = 184,411,842,624
  5. Step 5: Solve for x
    x = 184,411,842,624/196,897.50
  6. Step 6: Final answer
    x = 936,588.04

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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.