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Finding the Third Proportional to 201,444.47 and 314,426.81

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Solution

The third proportional to 201,444.47 and 314,426.81 is: 490,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,444.47 : 314,426.81 = 314,426.81 : x
  2. Step 2: Convert to fraction form
    201,444.47/314,426.81 = 314,426.81/x
  3. Step 3: Cross multiply
    201,444.47x = 314,426.81 × 314,426.81
  4. Step 4: Simplify right side
    201,444.47x = 98,864,220,418.91
  5. Step 5: Solve for x
    x = 98,864,220,418.91/201,444.47
  6. Step 6: Final answer
    x = 490,776.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.