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Finding the Third Proportional to 147,726 and 322,178

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Solution

The third proportional to 147,726 and 322,178 is: 702,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,726 : 322,178 = 322,178 : x
  2. Step 2: Convert to fraction form
    147,726/322,178 = 322,178/x
  3. Step 3: Cross multiply
    147,726x = 322,178 × 322,178
  4. Step 4: Simplify right side
    147,726x = 103,798,663,684
  5. Step 5: Solve for x
    x = 103,798,663,684/147,726
  6. Step 6: Final answer
    x = 702,643.16

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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.