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Finding the Third Proportional to 249,941.53 and 357,164.44

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Solution

The third proportional to 249,941.53 and 357,164.44 is: 510,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,941.53 : 357,164.44 = 357,164.44 : x
  2. Step 2: Convert to fraction form
    249,941.53/357,164.44 = 357,164.44/x
  3. Step 3: Cross multiply
    249,941.53x = 357,164.44 × 357,164.44
  4. Step 4: Simplify right side
    249,941.53x = 127,566,435,414.69
  5. Step 5: Solve for x
    x = 127,566,435,414.69/249,941.53
  6. Step 6: Final answer
    x = 510,385.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.