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Finding the Third Proportional to 245,974 and 376,097

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Solution

The third proportional to 245,974 and 376,097 is: 575,056.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,974 : 376,097 = 376,097 : x
  2. Step 2: Convert to fraction form
    245,974/376,097 = 376,097/x
  3. Step 3: Cross multiply
    245,974x = 376,097 × 376,097
  4. Step 4: Simplify right side
    245,974x = 141,448,953,409
  5. Step 5: Solve for x
    x = 141,448,953,409/245,974
  6. Step 6: Final answer
    x = 575,056.52

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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.