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Finding the Third Proportional to 122,802.33 and 260,503.59

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Solution

The third proportional to 122,802.33 and 260,503.59 is: 552,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,802.33 : 260,503.59 = 260,503.59 : x
  2. Step 2: Convert to fraction form
    122,802.33/260,503.59 = 260,503.59/x
  3. Step 3: Cross multiply
    122,802.33x = 260,503.59 × 260,503.59
  4. Step 4: Simplify right side
    122,802.33x = 67,862,122,356.67
  5. Step 5: Solve for x
    x = 67,862,122,356.67/122,802.33
  6. Step 6: Final answer
    x = 552,612.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.