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Finding the Third Proportional to 137,748 and 301,704

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Solution

The third proportional to 137,748 and 301,704 is: 660,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,748 : 301,704 = 301,704 : x
  2. Step 2: Convert to fraction form
    137,748/301,704 = 301,704/x
  3. Step 3: Cross multiply
    137,748x = 301,704 × 301,704
  4. Step 4: Simplify right side
    137,748x = 91,025,303,616
  5. Step 5: Solve for x
    x = 91,025,303,616/137,748
  6. Step 6: Final answer
    x = 660,810.35

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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.