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Finding the Third Proportional to 163,122 and 249,557

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Solution

The third proportional to 163,122 and 249,557 is: 381,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,122 : 249,557 = 249,557 : x
  2. Step 2: Convert to fraction form
    163,122/249,557 = 249,557/x
  3. Step 3: Cross multiply
    163,122x = 249,557 × 249,557
  4. Step 4: Simplify right side
    163,122x = 62,278,696,249
  5. Step 5: Solve for x
    x = 62,278,696,249/163,122
  6. Step 6: Final answer
    x = 381,792.13

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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.