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Finding the Third Proportional to 163,256 and 249,717

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Solution

The third proportional to 163,256 and 249,717 is: 381,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,256 : 249,717 = 249,717 : x
  2. Step 2: Convert to fraction form
    163,256/249,717 = 249,717/x
  3. Step 3: Cross multiply
    163,256x = 249,717 × 249,717
  4. Step 4: Simplify right side
    163,256x = 62,358,580,089
  5. Step 5: Solve for x
    x = 62,358,580,089/163,256
  6. Step 6: Final answer
    x = 381,968.08

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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.