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Finding the Third Proportional to 119,462 and 257,428

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Solution

The third proportional to 119,462 and 257,428 is: 554,730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,462 : 257,428 = 257,428 : x
  2. Step 2: Convert to fraction form
    119,462/257,428 = 257,428/x
  3. Step 3: Cross multiply
    119,462x = 257,428 × 257,428
  4. Step 4: Simplify right side
    119,462x = 66,269,175,184
  5. Step 5: Solve for x
    x = 66,269,175,184/119,462
  6. Step 6: Final answer
    x = 554,730.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.