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Finding the Third Proportional to 197,127 and 301,603.50

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Solution

The third proportional to 197,127 and 301,603.50 is: 461,452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,127 : 301,603.50 = 301,603.50 : x
  2. Step 2: Convert to fraction form
    197,127/301,603.50 = 301,603.50/x
  3. Step 3: Cross multiply
    197,127x = 301,603.50 × 301,603.50
  4. Step 4: Simplify right side
    197,127x = 90,964,671,212.25
  5. Step 5: Solve for x
    x = 90,964,671,212.25/197,127
  6. Step 6: Final answer
    x = 461,452.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.