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Finding the Third Proportional to 238,160 and 509,070

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Solution

The third proportional to 238,160 and 509,070 is: 1,088,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,160 : 509,070 = 509,070 : x
  2. Step 2: Convert to fraction form
    238,160/509,070 = 509,070/x
  3. Step 3: Cross multiply
    238,160x = 509,070 × 509,070
  4. Step 4: Simplify right side
    238,160x = 259,152,264,900
  5. Step 5: Solve for x
    x = 259,152,264,900/238,160
  6. Step 6: Final answer
    x = 1,088,143.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.