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Finding the Third Proportional to 162,925.50 and 348,631.50

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Solution

The third proportional to 162,925.50 and 348,631.50 is: 746,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,925.50 : 348,631.50 = 348,631.50 : x
  2. Step 2: Convert to fraction form
    162,925.50/348,631.50 = 348,631.50/x
  3. Step 3: Cross multiply
    162,925.50x = 348,631.50 × 348,631.50
  4. Step 4: Simplify right side
    162,925.50x = 121,543,922,792.25
  5. Step 5: Solve for x
    x = 121,543,922,792.25/162,925.50
  6. Step 6: Final answer
    x = 746,009.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.