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Finding the Third Proportional to 231,784 and 358,701

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Solution

The third proportional to 231,784 and 358,701 is: 555,113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,784 : 358,701 = 358,701 : x
  2. Step 2: Convert to fraction form
    231,784/358,701 = 358,701/x
  3. Step 3: Cross multiply
    231,784x = 358,701 × 358,701
  4. Step 4: Simplify right side
    231,784x = 128,666,407,401
  5. Step 5: Solve for x
    x = 128,666,407,401/231,784
  6. Step 6: Final answer
    x = 555,113.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.