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Finding the Third Proportional to 115,829.81 and 253,802.91

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Solution

The third proportional to 115,829.81 and 253,802.91 is: 556,125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,829.81 : 253,802.91 = 253,802.91 : x
  2. Step 2: Convert to fraction form
    115,829.81/253,802.91 = 253,802.91/x
  3. Step 3: Cross multiply
    115,829.81x = 253,802.91 × 253,802.91
  4. Step 4: Simplify right side
    115,829.81x = 64,415,915,220.95
  5. Step 5: Solve for x
    x = 64,415,915,220.95/115,829.81
  6. Step 6: Final answer
    x = 556,125.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.