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Finding the Third Proportional to 238,332 and 349,476

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Solution

The third proportional to 238,332 and 349,476 is: 512,451.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,332 : 349,476 = 349,476 : x
  2. Step 2: Convert to fraction form
    238,332/349,476 = 349,476/x
  3. Step 3: Cross multiply
    238,332x = 349,476 × 349,476
  4. Step 4: Simplify right side
    238,332x = 122,133,474,576
  5. Step 5: Solve for x
    x = 122,133,474,576/238,332
  6. Step 6: Final answer
    x = 512,451.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.