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Finding the Third Proportional to 162,281 and 249,590

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Solution

The third proportional to 162,281 and 249,590 is: 383,872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,281 : 249,590 = 249,590 : x
  2. Step 2: Convert to fraction form
    162,281/249,590 = 249,590/x
  3. Step 3: Cross multiply
    162,281x = 249,590 × 249,590
  4. Step 4: Simplify right side
    162,281x = 62,295,168,100
  5. Step 5: Solve for x
    x = 62,295,168,100/162,281
  6. Step 6: Final answer
    x = 383,872.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.