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Finding the Third Proportional to 158,333 and 236,709

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Solution

The third proportional to 158,333 and 236,709 is: 353,881.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,333 : 236,709 = 236,709 : x
  2. Step 2: Convert to fraction form
    158,333/236,709 = 236,709/x
  3. Step 3: Cross multiply
    158,333x = 236,709 × 236,709
  4. Step 4: Simplify right side
    158,333x = 56,031,150,681
  5. Step 5: Solve for x
    x = 56,031,150,681/158,333
  6. Step 6: Final answer
    x = 353,881.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.