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Finding the Third Proportional to 197,691 and 423,985.50

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Solution

The third proportional to 197,691 and 423,985.50 is: 909,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,691 : 423,985.50 = 423,985.50 : x
  2. Step 2: Convert to fraction form
    197,691/423,985.50 = 423,985.50/x
  3. Step 3: Cross multiply
    197,691x = 423,985.50 × 423,985.50
  4. Step 4: Simplify right side
    197,691x = 179,763,704,210.25
  5. Step 5: Solve for x
    x = 179,763,704,210.25/197,691
  6. Step 6: Final answer
    x = 909,316.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.