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Finding the Third Proportional to 257,254 and 366,964

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Solution

The third proportional to 257,254 and 366,964 is: 523,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,254 : 366,964 = 366,964 : x
  2. Step 2: Convert to fraction form
    257,254/366,964 = 366,964/x
  3. Step 3: Cross multiply
    257,254x = 366,964 × 366,964
  4. Step 4: Simplify right side
    257,254x = 134,662,577,296
  5. Step 5: Solve for x
    x = 134,662,577,296/257,254
  6. Step 6: Final answer
    x = 523,461.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.