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Finding the Third Proportional to 251,980 and 390,158

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Solution

The third proportional to 251,980 and 390,158 is: 604,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,980 : 390,158 = 390,158 : x
  2. Step 2: Convert to fraction form
    251,980/390,158 = 390,158/x
  3. Step 3: Cross multiply
    251,980x = 390,158 × 390,158
  4. Step 4: Simplify right side
    251,980x = 152,223,264,964
  5. Step 5: Solve for x
    x = 152,223,264,964/251,980
  6. Step 6: Final answer
    x = 604,108.52

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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.