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Finding the Third Proportional to 170,896 and 249,720

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Solution

The third proportional to 170,896 and 249,720 is: 364,900.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,896 : 249,720 = 249,720 : x
  2. Step 2: Convert to fraction form
    170,896/249,720 = 249,720/x
  3. Step 3: Cross multiply
    170,896x = 249,720 × 249,720
  4. Step 4: Simplify right side
    170,896x = 62,360,078,400
  5. Step 5: Solve for x
    x = 62,360,078,400/170,896
  6. Step 6: Final answer
    x = 364,900.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.