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Finding the Third Proportional to 162,303 and 349,572

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Solution

The third proportional to 162,303 and 349,572 is: 752,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,303 : 349,572 = 349,572 : x
  2. Step 2: Convert to fraction form
    162,303/349,572 = 349,572/x
  3. Step 3: Cross multiply
    162,303x = 349,572 × 349,572
  4. Step 4: Simplify right side
    162,303x = 122,200,583,184
  5. Step 5: Solve for x
    x = 122,200,583,184/162,303
  6. Step 6: Final answer
    x = 752,916.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.