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Finding the Third Proportional to 282,154.50 and 603,135

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Solution

The third proportional to 282,154.50 and 603,135 is: 1,289,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,154.50 : 603,135 = 603,135 : x
  2. Step 2: Convert to fraction form
    282,154.50/603,135 = 603,135/x
  3. Step 3: Cross multiply
    282,154.50x = 603,135 × 603,135
  4. Step 4: Simplify right side
    282,154.50x = 363,771,828,225
  5. Step 5: Solve for x
    x = 363,771,828,225/282,154.50
  6. Step 6: Final answer
    x = 1,289,264.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.