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Finding the Third Proportional to 159,572 and 238,228

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Solution

The third proportional to 159,572 and 238,228 is: 355,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,572 : 238,228 = 238,228 : x
  2. Step 2: Convert to fraction form
    159,572/238,228 = 238,228/x
  3. Step 3: Cross multiply
    159,572x = 238,228 × 238,228
  4. Step 4: Simplify right side
    159,572x = 56,752,579,984
  5. Step 5: Solve for x
    x = 56,752,579,984/159,572
  6. Step 6: Final answer
    x = 355,655.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.