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Finding the Third Proportional to 190,575 and 278,708.63

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Solution

The third proportional to 190,575 and 278,708.63 is: 407,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,575 : 278,708.63 = 278,708.63 : x
  2. Step 2: Convert to fraction form
    190,575/278,708.63 = 278,708.63/x
  3. Step 3: Cross multiply
    190,575x = 278,708.63 × 278,708.63
  4. Step 4: Simplify right side
    190,575x = 77,678,497,649.39
  5. Step 5: Solve for x
    x = 77,678,497,649.39/190,575
  6. Step 6: Final answer
    x = 407,600.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.