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Finding the Third Proportional to 255,051 and 374,798.25

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Solution

The third proportional to 255,051 and 374,798.25 is: 550,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,051 : 374,798.25 = 374,798.25 : x
  2. Step 2: Convert to fraction form
    255,051/374,798.25 = 374,798.25/x
  3. Step 3: Cross multiply
    255,051x = 374,798.25 × 374,798.25
  4. Step 4: Simplify right side
    255,051x = 140,473,728,203.06
  5. Step 5: Solve for x
    x = 140,473,728,203.06/255,051
  6. Step 6: Final answer
    x = 550,767.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.