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Finding the Third Proportional to 211,049 and 302,323

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Solution

The third proportional to 211,049 and 302,323 is: 433,070.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,049 : 302,323 = 302,323 : x
  2. Step 2: Convert to fraction form
    211,049/302,323 = 302,323/x
  3. Step 3: Cross multiply
    211,049x = 302,323 × 302,323
  4. Step 4: Simplify right side
    211,049x = 91,399,196,329
  5. Step 5: Solve for x
    x = 91,399,196,329/211,049
  6. Step 6: Final answer
    x = 433,070.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.