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Finding the Third Proportional to 158,410 and 243,158

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Solution

The third proportional to 158,410 and 243,158 is: 373,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,410 : 243,158 = 243,158 : x
  2. Step 2: Convert to fraction form
    158,410/243,158 = 243,158/x
  3. Step 3: Cross multiply
    158,410x = 243,158 × 243,158
  4. Step 4: Simplify right side
    158,410x = 59,125,812,964
  5. Step 5: Solve for x
    x = 59,125,812,964/158,410
  6. Step 6: Final answer
    x = 373,245.46

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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.