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Finding the Third Proportional to 153,370.13 and 314,371.13

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Solution

The third proportional to 153,370.13 and 314,371.13 is: 644,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,370.13 : 314,371.13 = 314,371.13 : x
  2. Step 2: Convert to fraction form
    153,370.13/314,371.13 = 314,371.13/x
  3. Step 3: Cross multiply
    153,370.13x = 314,371.13 × 314,371.13
  4. Step 4: Simplify right side
    153,370.13x = 98,829,204,233.77
  5. Step 5: Solve for x
    x = 98,829,204,233.77/153,370.13
  6. Step 6: Final answer
    x = 644,383.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.