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Finding the Third Proportional to 238,263 and 370,464

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Solution

The third proportional to 238,263 and 370,464 is: 576,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,263 : 370,464 = 370,464 : x
  2. Step 2: Convert to fraction form
    238,263/370,464 = 370,464/x
  3. Step 3: Cross multiply
    238,263x = 370,464 × 370,464
  4. Step 4: Simplify right side
    238,263x = 137,243,575,296
  5. Step 5: Solve for x
    x = 137,243,575,296/238,263
  6. Step 6: Final answer
    x = 576,017.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.