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Finding the Third Proportional to 120,348 and 264,028

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Solution

The third proportional to 120,348 and 264,028 is: 579,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,348 : 264,028 = 264,028 : x
  2. Step 2: Convert to fraction form
    120,348/264,028 = 264,028/x
  3. Step 3: Cross multiply
    120,348x = 264,028 × 264,028
  4. Step 4: Simplify right side
    120,348x = 69,710,784,784
  5. Step 5: Solve for x
    x = 69,710,784,784/120,348
  6. Step 6: Final answer
    x = 579,243.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.