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Finding the Third Proportional to 190,160 and 299,076

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Solution

The third proportional to 190,160 and 299,076 is: 470,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,160 : 299,076 = 299,076 : x
  2. Step 2: Convert to fraction form
    190,160/299,076 = 299,076/x
  3. Step 3: Cross multiply
    190,160x = 299,076 × 299,076
  4. Step 4: Simplify right side
    190,160x = 89,446,453,776
  5. Step 5: Solve for x
    x = 89,446,453,776/190,160
  6. Step 6: Final answer
    x = 470,374.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.