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Finding the Third Proportional to 235,415 and 348,544

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Solution

The third proportional to 235,415 and 348,544 is: 516,037.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,415 : 348,544 = 348,544 : x
  2. Step 2: Convert to fraction form
    235,415/348,544 = 348,544/x
  3. Step 3: Cross multiply
    235,415x = 348,544 × 348,544
  4. Step 4: Simplify right side
    235,415x = 121,482,919,936
  5. Step 5: Solve for x
    x = 121,482,919,936/235,415
  6. Step 6: Final answer
    x = 516,037.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.