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Finding the Third Proportional to 130,491 and 207,400.50

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Solution

The third proportional to 130,491 and 207,400.50 is: 329,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,491 : 207,400.50 = 207,400.50 : x
  2. Step 2: Convert to fraction form
    130,491/207,400.50 = 207,400.50/x
  3. Step 3: Cross multiply
    130,491x = 207,400.50 × 207,400.50
  4. Step 4: Simplify right side
    130,491x = 43,014,967,400.25
  5. Step 5: Solve for x
    x = 43,014,967,400.25/130,491
  6. Step 6: Final answer
    x = 329,639.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.