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Finding the Third Proportional to 157,848 and 335,784

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Solution

The third proportional to 157,848 and 335,784 is: 714,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,848 : 335,784 = 335,784 : x
  2. Step 2: Convert to fraction form
    157,848/335,784 = 335,784/x
  3. Step 3: Cross multiply
    157,848x = 335,784 × 335,784
  4. Step 4: Simplify right side
    157,848x = 112,750,894,656
  5. Step 5: Solve for x
    x = 112,750,894,656/157,848
  6. Step 6: Final answer
    x = 714,300.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.