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Finding the Third Proportional to 229,281 and 257,712

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Solution

The third proportional to 229,281 and 257,712 is: 289,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,281 : 257,712 = 257,712 : x
  2. Step 2: Convert to fraction form
    229,281/257,712 = 257,712/x
  3. Step 3: Cross multiply
    229,281x = 257,712 × 257,712
  4. Step 4: Simplify right side
    229,281x = 66,415,474,944
  5. Step 5: Solve for x
    x = 66,415,474,944/229,281
  6. Step 6: Final answer
    x = 289,668.46

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.