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Finding the Third Proportional to 163,107 and 238,366.50

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Solution

The third proportional to 163,107 and 238,366.50 is: 348,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,107 : 238,366.50 = 238,366.50 : x
  2. Step 2: Convert to fraction form
    163,107/238,366.50 = 238,366.50/x
  3. Step 3: Cross multiply
    163,107x = 238,366.50 × 238,366.50
  4. Step 4: Simplify right side
    163,107x = 56,818,588,322.25
  5. Step 5: Solve for x
    x = 56,818,588,322.25/163,107
  6. Step 6: Final answer
    x = 348,351.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.