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Finding the Third Proportional to 145,040 and 316,648

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Solution

The third proportional to 145,040 and 316,648 is: 691,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,040 : 316,648 = 316,648 : x
  2. Step 2: Convert to fraction form
    145,040/316,648 = 316,648/x
  3. Step 3: Cross multiply
    145,040x = 316,648 × 316,648
  4. Step 4: Simplify right side
    145,040x = 100,265,955,904
  5. Step 5: Solve for x
    x = 100,265,955,904/145,040
  6. Step 6: Final answer
    x = 691,298.65

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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.