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Finding the Third Proportional to 245,834 and 348,159

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Solution

The third proportional to 245,834 and 348,159 is: 493,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,834 : 348,159 = 348,159 : x
  2. Step 2: Convert to fraction form
    245,834/348,159 = 348,159/x
  3. Step 3: Cross multiply
    245,834x = 348,159 × 348,159
  4. Step 4: Simplify right side
    245,834x = 121,214,689,281
  5. Step 5: Solve for x
    x = 121,214,689,281/245,834
  6. Step 6: Final answer
    x = 493,075.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.