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Finding the Third Proportional to 162,495 and 251,118

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Solution

The third proportional to 162,495 and 251,118 is: 388,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,495 : 251,118 = 251,118 : x
  2. Step 2: Convert to fraction form
    162,495/251,118 = 251,118/x
  3. Step 3: Cross multiply
    162,495x = 251,118 × 251,118
  4. Step 4: Simplify right side
    162,495x = 63,060,249,924
  5. Step 5: Solve for x
    x = 63,060,249,924/162,495
  6. Step 6: Final answer
    x = 388,075.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.