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Finding the Third Proportional to 114,820 and 249,322

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Solution

The third proportional to 114,820 and 249,322 is: 541,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,820 : 249,322 = 249,322 : x
  2. Step 2: Convert to fraction form
    114,820/249,322 = 249,322/x
  3. Step 3: Cross multiply
    114,820x = 249,322 × 249,322
  4. Step 4: Simplify right side
    114,820x = 62,161,459,684
  5. Step 5: Solve for x
    x = 62,161,459,684/114,820
  6. Step 6: Final answer
    x = 541,381.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.