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Finding the Third Proportional to 229,048 and 346,082

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Solution

The third proportional to 229,048 and 346,082 is: 522,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,048 : 346,082 = 346,082 : x
  2. Step 2: Convert to fraction form
    229,048/346,082 = 346,082/x
  3. Step 3: Cross multiply
    229,048x = 346,082 × 346,082
  4. Step 4: Simplify right side
    229,048x = 119,772,750,724
  5. Step 5: Solve for x
    x = 119,772,750,724/229,048
  6. Step 6: Final answer
    x = 522,915.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.