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Finding the Third Proportional to 145,375.13 and 308,010

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Solution

The third proportional to 145,375.13 and 308,010 is: 652,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,375.13 : 308,010 = 308,010 : x
  2. Step 2: Convert to fraction form
    145,375.13/308,010 = 308,010/x
  3. Step 3: Cross multiply
    145,375.13x = 308,010 × 308,010
  4. Step 4: Simplify right side
    145,375.13x = 94,870,160,100
  5. Step 5: Solve for x
    x = 94,870,160,100/145,375.13
  6. Step 6: Final answer
    x = 652,588.67

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Why These Related Problems?

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