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Finding the Third Proportional to 244,308 and 348,708

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Solution

The third proportional to 244,308 and 348,708 is: 497,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,308 : 348,708 = 348,708 : x
  2. Step 2: Convert to fraction form
    244,308/348,708 = 348,708/x
  3. Step 3: Cross multiply
    244,308x = 348,708 × 348,708
  4. Step 4: Simplify right side
    244,308x = 121,597,269,264
  5. Step 5: Solve for x
    x = 121,597,269,264/244,308
  6. Step 6: Final answer
    x = 497,721.19

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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.