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Finding the Third Proportional to 178,594 and 243,210

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Solution

The third proportional to 178,594 and 243,210 is: 331,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,594 : 243,210 = 243,210 : x
  2. Step 2: Convert to fraction form
    178,594/243,210 = 243,210/x
  3. Step 3: Cross multiply
    178,594x = 243,210 × 243,210
  4. Step 4: Simplify right side
    178,594x = 59,151,104,100
  5. Step 5: Solve for x
    x = 59,151,104,100/178,594
  6. Step 6: Final answer
    x = 331,204.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.