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Finding the Third Proportional to 163,302 and 249,814

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Solution

The third proportional to 163,302 and 249,814 is: 382,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,302 : 249,814 = 249,814 : x
  2. Step 2: Convert to fraction form
    163,302/249,814 = 249,814/x
  3. Step 3: Cross multiply
    163,302x = 249,814 × 249,814
  4. Step 4: Simplify right side
    163,302x = 62,407,034,596
  5. Step 5: Solve for x
    x = 62,407,034,596/163,302
  6. Step 6: Final answer
    x = 382,157.20

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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.