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Finding the Third Proportional to 162,804 and 348,967.50

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Solution

The third proportional to 162,804 and 348,967.50 is: 748,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,804 : 348,967.50 = 348,967.50 : x
  2. Step 2: Convert to fraction form
    162,804/348,967.50 = 348,967.50/x
  3. Step 3: Cross multiply
    162,804x = 348,967.50 × 348,967.50
  4. Step 4: Simplify right side
    162,804x = 121,778,316,056.25
  5. Step 5: Solve for x
    x = 121,778,316,056.25/162,804
  6. Step 6: Final answer
    x = 748,005.68

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