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Finding the Third Proportional to 177,547 and 249,734

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Solution

The third proportional to 177,547 and 249,734 is: 351,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,547 : 249,734 = 249,734 : x
  2. Step 2: Convert to fraction form
    177,547/249,734 = 249,734/x
  3. Step 3: Cross multiply
    177,547x = 249,734 × 249,734
  4. Step 4: Simplify right side
    177,547x = 62,367,070,756
  5. Step 5: Solve for x
    x = 62,367,070,756/177,547
  6. Step 6: Final answer
    x = 351,270.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.