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Finding the Third Proportional to 156,924 and 239,490

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Solution

The third proportional to 156,924 and 239,490 is: 365,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,924 : 239,490 = 239,490 : x
  2. Step 2: Convert to fraction form
    156,924/239,490 = 239,490/x
  3. Step 3: Cross multiply
    156,924x = 239,490 × 239,490
  4. Step 4: Simplify right side
    156,924x = 57,355,460,100
  5. Step 5: Solve for x
    x = 57,355,460,100/156,924
  6. Step 6: Final answer
    x = 365,498.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.