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Finding the Third Proportional to 145,944 and 186,485

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Solution

The third proportional to 145,944 and 186,485 is: 238,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,944 : 186,485 = 186,485 : x
  2. Step 2: Convert to fraction form
    145,944/186,485 = 186,485/x
  3. Step 3: Cross multiply
    145,944x = 186,485 × 186,485
  4. Step 4: Simplify right side
    145,944x = 34,776,655,225
  5. Step 5: Solve for x
    x = 34,776,655,225/145,944
  6. Step 6: Final answer
    x = 238,287.67

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.