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Finding the Third Proportional to 138,560 and 299,260

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Solution

The third proportional to 138,560 and 299,260 is: 646,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,560 : 299,260 = 299,260 : x
  2. Step 2: Convert to fraction form
    138,560/299,260 = 299,260/x
  3. Step 3: Cross multiply
    138,560x = 299,260 × 299,260
  4. Step 4: Simplify right side
    138,560x = 89,556,547,600
  5. Step 5: Solve for x
    x = 89,556,547,600/138,560
  6. Step 6: Final answer
    x = 646,337.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.