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Finding the Third Proportional to 162,435 and 249,995

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Solution

The third proportional to 162,435 and 249,995 is: 384,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,435 : 249,995 = 249,995 : x
  2. Step 2: Convert to fraction form
    162,435/249,995 = 249,995/x
  3. Step 3: Cross multiply
    162,435x = 249,995 × 249,995
  4. Step 4: Simplify right side
    162,435x = 62,497,500,025
  5. Step 5: Solve for x
    x = 62,497,500,025/162,435
  6. Step 6: Final answer
    x = 384,753.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.