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Finding the Third Proportional to 196,074 and 429,528

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Solution

The third proportional to 196,074 and 429,528 is: 940,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,074 : 429,528 = 429,528 : x
  2. Step 2: Convert to fraction form
    196,074/429,528 = 429,528/x
  3. Step 3: Cross multiply
    196,074x = 429,528 × 429,528
  4. Step 4: Simplify right side
    196,074x = 184,494,302,784
  5. Step 5: Solve for x
    x = 184,494,302,784/196,074
  6. Step 6: Final answer
    x = 940,942.21

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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.