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Finding the Third Proportional to 141,294 and 306,888

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Solution

The third proportional to 141,294 and 306,888 is: 666,555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,294 : 306,888 = 306,888 : x
  2. Step 2: Convert to fraction form
    141,294/306,888 = 306,888/x
  3. Step 3: Cross multiply
    141,294x = 306,888 × 306,888
  4. Step 4: Simplify right side
    141,294x = 94,180,244,544
  5. Step 5: Solve for x
    x = 94,180,244,544/141,294
  6. Step 6: Final answer
    x = 666,555.16

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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.