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Finding the Third Proportional to 229,880 and 358,794

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Solution

The third proportional to 229,880 and 358,794 is: 560,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,880 : 358,794 = 358,794 : x
  2. Step 2: Convert to fraction form
    229,880/358,794 = 358,794/x
  3. Step 3: Cross multiply
    229,880x = 358,794 × 358,794
  4. Step 4: Simplify right side
    229,880x = 128,733,134,436
  5. Step 5: Solve for x
    x = 128,733,134,436/229,880
  6. Step 6: Final answer
    x = 560,001.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.