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Finding the Third Proportional to 280,192.50 and 608,013

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Solution

The third proportional to 280,192.50 and 608,013 is: 1,319,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,192.50 : 608,013 = 608,013 : x
  2. Step 2: Convert to fraction form
    280,192.50/608,013 = 608,013/x
  3. Step 3: Cross multiply
    280,192.50x = 608,013 × 608,013
  4. Step 4: Simplify right side
    280,192.50x = 369,679,808,169
  5. Step 5: Solve for x
    x = 369,679,808,169/280,192.50
  6. Step 6: Final answer
    x = 1,319,377.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.