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Finding the Third Proportional to 147,768 and 306,046

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Solution

The third proportional to 147,768 and 306,046 is: 633,859.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,768 : 306,046 = 306,046 : x
  2. Step 2: Convert to fraction form
    147,768/306,046 = 306,046/x
  3. Step 3: Cross multiply
    147,768x = 306,046 × 306,046
  4. Step 4: Simplify right side
    147,768x = 93,664,154,116
  5. Step 5: Solve for x
    x = 93,664,154,116/147,768
  6. Step 6: Final answer
    x = 633,859.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.