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Finding the Third Proportional to 165,998 and 249,160

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Solution

The third proportional to 165,998 and 249,160 is: 373,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,998 : 249,160 = 249,160 : x
  2. Step 2: Convert to fraction form
    165,998/249,160 = 249,160/x
  3. Step 3: Cross multiply
    165,998x = 249,160 × 249,160
  4. Step 4: Simplify right side
    165,998x = 62,080,705,600
  5. Step 5: Solve for x
    x = 62,080,705,600/165,998
  6. Step 6: Final answer
    x = 373,984.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.