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Finding the Third Proportional to 167,283 and 238,468.50

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Solution

The third proportional to 167,283 and 238,468.50 is: 339,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,283 : 238,468.50 = 238,468.50 : x
  2. Step 2: Convert to fraction form
    167,283/238,468.50 = 238,468.50/x
  3. Step 3: Cross multiply
    167,283x = 238,468.50 × 238,468.50
  4. Step 4: Simplify right side
    167,283x = 56,867,225,492.25
  5. Step 5: Solve for x
    x = 56,867,225,492.25/167,283
  6. Step 6: Final answer
    x = 339,946.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.