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Finding the Third Proportional to 130,217.63 and 264,057.47

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Solution

The third proportional to 130,217.63 and 264,057.47 is: 535,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,217.63 : 264,057.47 = 264,057.47 : x
  2. Step 2: Convert to fraction form
    130,217.63/264,057.47 = 264,057.47/x
  3. Step 3: Cross multiply
    130,217.63x = 264,057.47 × 264,057.47
  4. Step 4: Simplify right side
    130,217.63x = 69,726,346,802.66
  5. Step 5: Solve for x
    x = 69,726,346,802.66/130,217.63
  6. Step 6: Final answer
    x = 535,460.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.