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Finding the Third Proportional to 163,376 and 249,871

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Solution

The third proportional to 163,376 and 249,871 is: 382,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,376 : 249,871 = 249,871 : x
  2. Step 2: Convert to fraction form
    163,376/249,871 = 249,871/x
  3. Step 3: Cross multiply
    163,376x = 249,871 × 249,871
  4. Step 4: Simplify right side
    163,376x = 62,435,516,641
  5. Step 5: Solve for x
    x = 62,435,516,641/163,376
  6. Step 6: Final answer
    x = 382,158.44

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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.