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Finding the Third Proportional to 162,276 and 249,582

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Solution

The third proportional to 162,276 and 249,582 is: 383,859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,276 : 249,582 = 249,582 : x
  2. Step 2: Convert to fraction form
    162,276/249,582 = 249,582/x
  3. Step 3: Cross multiply
    162,276x = 249,582 × 249,582
  4. Step 4: Simplify right side
    162,276x = 62,291,174,724
  5. Step 5: Solve for x
    x = 62,291,174,724/162,276
  6. Step 6: Final answer
    x = 383,859.44

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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.