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Finding the Third Proportional to 144,476.63 and 191,703.56

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Solution

The third proportional to 144,476.63 and 191,703.56 is: 254,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,476.63 : 191,703.56 = 191,703.56 : x
  2. Step 2: Convert to fraction form
    144,476.63/191,703.56 = 191,703.56/x
  3. Step 3: Cross multiply
    144,476.63x = 191,703.56 × 191,703.56
  4. Step 4: Simplify right side
    144,476.63x = 36,750,255,875.19
  5. Step 5: Solve for x
    x = 36,750,255,875.19/144,476.63
  6. Step 6: Final answer
    x = 254,368.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.