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Finding the Third Proportional to 242,068 and 531,920

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Solution

The third proportional to 242,068 and 531,920 is: 1,168,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,068 : 531,920 = 531,920 : x
  2. Step 2: Convert to fraction form
    242,068/531,920 = 531,920/x
  3. Step 3: Cross multiply
    242,068x = 531,920 × 531,920
  4. Step 4: Simplify right side
    242,068x = 282,938,886,400
  5. Step 5: Solve for x
    x = 282,938,886,400/242,068
  6. Step 6: Final answer
    x = 1,168,840.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.