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Finding the Third Proportional to 178,332 and 362,890.50

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Solution

The third proportional to 178,332 and 362,890.50 is: 738,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,332 : 362,890.50 = 362,890.50 : x
  2. Step 2: Convert to fraction form
    178,332/362,890.50 = 362,890.50/x
  3. Step 3: Cross multiply
    178,332x = 362,890.50 × 362,890.50
  4. Step 4: Simplify right side
    178,332x = 131,689,514,990.25
  5. Step 5: Solve for x
    x = 131,689,514,990.25/178,332
  6. Step 6: Final answer
    x = 738,451.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.