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Finding the Third Proportional to 255,746.25 and 387,173.25

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Solution

The third proportional to 255,746.25 and 387,173.25 is: 586,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,746.25 : 387,173.25 = 387,173.25 : x
  2. Step 2: Convert to fraction form
    255,746.25/387,173.25 = 387,173.25/x
  3. Step 3: Cross multiply
    255,746.25x = 387,173.25 × 387,173.25
  4. Step 4: Simplify right side
    255,746.25x = 149,903,125,515.56
  5. Step 5: Solve for x
    x = 149,903,125,515.56/255,746.25
  6. Step 6: Final answer
    x = 586,140.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.