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Finding the Third Proportional to 253,875 and 540,354

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Solution

The third proportional to 253,875 and 540,354 is: 1,150,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,875 : 540,354 = 540,354 : x
  2. Step 2: Convert to fraction form
    253,875/540,354 = 540,354/x
  3. Step 3: Cross multiply
    253,875x = 540,354 × 540,354
  4. Step 4: Simplify right side
    253,875x = 291,982,445,316
  5. Step 5: Solve for x
    x = 291,982,445,316/253,875
  6. Step 6: Final answer
    x = 1,150,103.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.