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Finding the Third Proportional to 248,913 and 386,066.25

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Solution

The third proportional to 248,913 and 386,066.25 is: 598,792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,913 : 386,066.25 = 386,066.25 : x
  2. Step 2: Convert to fraction form
    248,913/386,066.25 = 386,066.25/x
  3. Step 3: Cross multiply
    248,913x = 386,066.25 × 386,066.25
  4. Step 4: Simplify right side
    248,913x = 149,047,149,389.06
  5. Step 5: Solve for x
    x = 149,047,149,389.06/248,913
  6. Step 6: Final answer
    x = 598,792.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.