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Finding the Third Proportional to 163,454 and 249,935

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Solution

The third proportional to 163,454 and 249,935 is: 382,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,454 : 249,935 = 249,935 : x
  2. Step 2: Convert to fraction form
    163,454/249,935 = 249,935/x
  3. Step 3: Cross multiply
    163,454x = 249,935 × 249,935
  4. Step 4: Simplify right side
    163,454x = 62,467,504,225
  5. Step 5: Solve for x
    x = 62,467,504,225/163,454
  6. Step 6: Final answer
    x = 382,171.77

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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.