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Finding the Third Proportional to 162,062 and 256,411.50

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Solution

The third proportional to 162,062 and 256,411.50 is: 405,689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,062 : 256,411.50 = 256,411.50 : x
  2. Step 2: Convert to fraction form
    162,062/256,411.50 = 256,411.50/x
  3. Step 3: Cross multiply
    162,062x = 256,411.50 × 256,411.50
  4. Step 4: Simplify right side
    162,062x = 65,746,857,332.25
  5. Step 5: Solve for x
    x = 65,746,857,332.25/162,062
  6. Step 6: Final answer
    x = 405,689.53

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.