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Finding the Third Proportional to 134,980 and 293,264

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Solution

The third proportional to 134,980 and 293,264 is: 637,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,980 : 293,264 = 293,264 : x
  2. Step 2: Convert to fraction form
    134,980/293,264 = 293,264/x
  3. Step 3: Cross multiply
    134,980x = 293,264 × 293,264
  4. Step 4: Simplify right side
    134,980x = 86,003,773,696
  5. Step 5: Solve for x
    x = 86,003,773,696/134,980
  6. Step 6: Final answer
    x = 637,159.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.