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Finding the Third Proportional to 218,102 and 319,952.50

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Solution

The third proportional to 218,102 and 319,952.50 is: 469,365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,102 : 319,952.50 = 319,952.50 : x
  2. Step 2: Convert to fraction form
    218,102/319,952.50 = 319,952.50/x
  3. Step 3: Cross multiply
    218,102x = 319,952.50 × 319,952.50
  4. Step 4: Simplify right side
    218,102x = 102,369,602,256.25
  5. Step 5: Solve for x
    x = 102,369,602,256.25/218,102
  6. Step 6: Final answer
    x = 469,365.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.