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Finding the Third Proportional to 163,044 and 238,726

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Solution

The third proportional to 163,044 and 238,726 is: 349,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,044 : 238,726 = 238,726 : x
  2. Step 2: Convert to fraction form
    163,044/238,726 = 238,726/x
  3. Step 3: Cross multiply
    163,044x = 238,726 × 238,726
  4. Step 4: Simplify right side
    163,044x = 56,990,103,076
  5. Step 5: Solve for x
    x = 56,990,103,076/163,044
  6. Step 6: Final answer
    x = 349,538.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.