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Finding the Third Proportional to 145,046 and 316,660

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Solution

The third proportional to 145,046 and 316,660 is: 691,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,046 : 316,660 = 316,660 : x
  2. Step 2: Convert to fraction form
    145,046/316,660 = 316,660/x
  3. Step 3: Cross multiply
    145,046x = 316,660 × 316,660
  4. Step 4: Simplify right side
    145,046x = 100,273,555,600
  5. Step 5: Solve for x
    x = 100,273,555,600/145,046
  6. Step 6: Final answer
    x = 691,322.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.