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Finding the Third Proportional to 163,184.63 and 249,467.34

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Solution

The third proportional to 163,184.63 and 249,467.34 is: 381,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,184.63 : 249,467.34 = 249,467.34 : x
  2. Step 2: Convert to fraction form
    163,184.63/249,467.34 = 249,467.34/x
  3. Step 3: Cross multiply
    163,184.63x = 249,467.34 × 249,467.34
  4. Step 4: Simplify right side
    163,184.63x = 62,233,955,597.68
  5. Step 5: Solve for x
    x = 62,233,955,597.68/163,184.63
  6. Step 6: Final answer
    x = 381,371.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.