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Finding the Third Proportional to 242,094 and 531,968

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Solution

The third proportional to 242,094 and 531,968 is: 1,168,925.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,094 : 531,968 = 531,968 : x
  2. Step 2: Convert to fraction form
    242,094/531,968 = 531,968/x
  3. Step 3: Cross multiply
    242,094x = 531,968 × 531,968
  4. Step 4: Simplify right side
    242,094x = 282,989,953,024
  5. Step 5: Solve for x
    x = 282,989,953,024/242,094
  6. Step 6: Final answer
    x = 1,168,925.93

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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.