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Finding the Third Proportional to 147,739.50 and 216,368.44

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Solution

The third proportional to 147,739.50 and 216,368.44 is: 316,877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,739.50 : 216,368.44 = 216,368.44 : x
  2. Step 2: Convert to fraction form
    147,739.50/216,368.44 = 216,368.44/x
  3. Step 3: Cross multiply
    147,739.50x = 216,368.44 × 216,368.44
  4. Step 4: Simplify right side
    147,739.50x = 46,815,300,746.19
  5. Step 5: Solve for x
    x = 46,815,300,746.19/147,739.50
  6. Step 6: Final answer
    x = 316,877.35

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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.