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Finding the Third Proportional to 74,838 and 163,752

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Solution

The third proportional to 74,838 and 163,752 is: 358,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,838 : 163,752 = 163,752 : x
  2. Step 2: Convert to fraction form
    74,838/163,752 = 163,752/x
  3. Step 3: Cross multiply
    74,838x = 163,752 × 163,752
  4. Step 4: Simplify right side
    74,838x = 26,814,717,504
  5. Step 5: Solve for x
    x = 26,814,717,504/74,838
  6. Step 6: Final answer
    x = 358,303.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.