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Finding the Third Proportional to 191,270.53 and 295,135.13

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Solution

The third proportional to 191,270.53 and 295,135.13 is: 455,400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,270.53 : 295,135.13 = 295,135.13 : x
  2. Step 2: Convert to fraction form
    191,270.53/295,135.13 = 295,135.13/x
  3. Step 3: Cross multiply
    191,270.53x = 295,135.13 × 295,135.13
  4. Step 4: Simplify right side
    191,270.53x = 87,104,742,008.77
  5. Step 5: Solve for x
    x = 87,104,742,008.77/191,270.53
  6. Step 6: Final answer
    x = 455,400.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.