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Finding the Third Proportional to 140,411 and 302,964

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Solution

The third proportional to 140,411 and 302,964 is: 653,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,411 : 302,964 = 302,964 : x
  2. Step 2: Convert to fraction form
    140,411/302,964 = 302,964/x
  3. Step 3: Cross multiply
    140,411x = 302,964 × 302,964
  4. Step 4: Simplify right side
    140,411x = 91,787,185,296
  5. Step 5: Solve for x
    x = 91,787,185,296/140,411
  6. Step 6: Final answer
    x = 653,703.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.