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Finding the Third Proportional to 242,357 and 370,097

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Solution

The third proportional to 242,357 and 370,097 is: 565,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,357 : 370,097 = 370,097 : x
  2. Step 2: Convert to fraction form
    242,357/370,097 = 370,097/x
  3. Step 3: Cross multiply
    242,357x = 370,097 × 370,097
  4. Step 4: Simplify right side
    242,357x = 136,971,789,409
  5. Step 5: Solve for x
    x = 136,971,789,409/242,357
  6. Step 6: Final answer
    x = 565,165.39

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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.