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Finding the Third Proportional to 245,817 and 351,013.50

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Solution

The third proportional to 245,817 and 351,013.50 is: 501,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,817 : 351,013.50 = 351,013.50 : x
  2. Step 2: Convert to fraction form
    245,817/351,013.50 = 351,013.50/x
  3. Step 3: Cross multiply
    245,817x = 351,013.50 × 351,013.50
  4. Step 4: Simplify right side
    245,817x = 123,210,477,182.25
  5. Step 5: Solve for x
    x = 123,210,477,182.25/245,817
  6. Step 6: Final answer
    x = 501,228.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.