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Finding the Third Proportional to 145,360.83 and 308,308.78

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Solution

The third proportional to 145,360.83 and 308,308.78 is: 653,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,360.83 : 308,308.78 = 308,308.78 : x
  2. Step 2: Convert to fraction form
    145,360.83/308,308.78 = 308,308.78/x
  3. Step 3: Cross multiply
    145,360.83x = 308,308.78 × 308,308.78
  4. Step 4: Simplify right side
    145,360.83x = 95,054,304,595.86
  5. Step 5: Solve for x
    x = 95,054,304,595.86/145,360.83
  6. Step 6: Final answer
    x = 653,919.67

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.