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Finding the Third Proportional to 135,198 and 312,973.50

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Solution

The third proportional to 135,198 and 312,973.50 is: 724,510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,198 : 312,973.50 = 312,973.50 : x
  2. Step 2: Convert to fraction form
    135,198/312,973.50 = 312,973.50/x
  3. Step 3: Cross multiply
    135,198x = 312,973.50 × 312,973.50
  4. Step 4: Simplify right side
    135,198x = 97,952,411,702.25
  5. Step 5: Solve for x
    x = 97,952,411,702.25/135,198
  6. Step 6: Final answer
    x = 724,510.80

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.