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Finding the Third Proportional to 255,210 and 380,326.50

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Solution

The third proportional to 255,210 and 380,326.50 is: 566,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,210 : 380,326.50 = 380,326.50 : x
  2. Step 2: Convert to fraction form
    255,210/380,326.50 = 380,326.50/x
  3. Step 3: Cross multiply
    255,210x = 380,326.50 × 380,326.50
  4. Step 4: Simplify right side
    255,210x = 144,648,246,602.25
  5. Step 5: Solve for x
    x = 144,648,246,602.25/255,210
  6. Step 6: Final answer
    x = 566,781.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.