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Finding the Third Proportional to 242,364 and 370,106

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Solution

The third proportional to 242,364 and 370,106 is: 565,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,364 : 370,106 = 370,106 : x
  2. Step 2: Convert to fraction form
    242,364/370,106 = 370,106/x
  3. Step 3: Cross multiply
    242,364x = 370,106 × 370,106
  4. Step 4: Simplify right side
    242,364x = 136,978,451,236
  5. Step 5: Solve for x
    x = 136,978,451,236/242,364
  6. Step 6: Final answer
    x = 565,176.56

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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.