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Finding the Third Proportional to 196,465.50 and 429,710.06

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Solution

The third proportional to 196,465.50 and 429,710.06 is: 939,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,465.50 : 429,710.06 = 429,710.06 : x
  2. Step 2: Convert to fraction form
    196,465.50/429,710.06 = 429,710.06/x
  3. Step 3: Cross multiply
    196,465.50x = 429,710.06 × 429,710.06
  4. Step 4: Simplify right side
    196,465.50x = 184,650,737,813.75
  5. Step 5: Solve for x
    x = 184,650,737,813.75/196,465.50
  6. Step 6: Final answer
    x = 939,863.43

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Why These Related Problems?

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