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Finding the Third Proportional to 137,232 and 293,490

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Solution

The third proportional to 137,232 and 293,490 is: 627,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,232 : 293,490 = 293,490 : x
  2. Step 2: Convert to fraction form
    137,232/293,490 = 293,490/x
  3. Step 3: Cross multiply
    137,232x = 293,490 × 293,490
  4. Step 4: Simplify right side
    137,232x = 86,136,380,100
  5. Step 5: Solve for x
    x = 86,136,380,100/137,232
  6. Step 6: Final answer
    x = 627,669.79

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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.