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Finding the Third Proportional to 238,134 and 510,798

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Solution

The third proportional to 238,134 and 510,798 is: 1,095,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,134 : 510,798 = 510,798 : x
  2. Step 2: Convert to fraction form
    238,134/510,798 = 510,798/x
  3. Step 3: Cross multiply
    238,134x = 510,798 × 510,798
  4. Step 4: Simplify right side
    238,134x = 260,914,596,804
  5. Step 5: Solve for x
    x = 260,914,596,804/238,134
  6. Step 6: Final answer
    x = 1,095,662.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.