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Finding the Third Proportional to 100,246 and 237,487

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Solution

The third proportional to 100,246 and 237,487 is: 562,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,246 : 237,487 = 237,487 : x
  2. Step 2: Convert to fraction form
    100,246/237,487 = 237,487/x
  3. Step 3: Cross multiply
    100,246x = 237,487 × 237,487
  4. Step 4: Simplify right side
    100,246x = 56,400,075,169
  5. Step 5: Solve for x
    x = 56,400,075,169/100,246
  6. Step 6: Final answer
    x = 562,616.71

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.