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Finding the Third Proportional to 170,736 and 249,541

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Solution

The third proportional to 170,736 and 249,541 is: 364,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,736 : 249,541 = 249,541 : x
  2. Step 2: Convert to fraction form
    170,736/249,541 = 249,541/x
  3. Step 3: Cross multiply
    170,736x = 249,541 × 249,541
  4. Step 4: Simplify right side
    170,736x = 62,270,710,681
  5. Step 5: Solve for x
    x = 62,270,710,681/170,736
  6. Step 6: Final answer
    x = 364,719.28

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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.