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Finding the Third Proportional to 137,653.13 and 255,280.13

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Solution

The third proportional to 137,653.13 and 255,280.13 is: 473,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,653.13 : 255,280.13 = 255,280.13 : x
  2. Step 2: Convert to fraction form
    137,653.13/255,280.13 = 255,280.13/x
  3. Step 3: Cross multiply
    137,653.13x = 255,280.13 × 255,280.13
  4. Step 4: Simplify right side
    137,653.13x = 65,167,942,220.02
  5. Step 5: Solve for x
    x = 65,167,942,220.02/137,653.13
  6. Step 6: Final answer
    x = 473,421.45

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.