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Finding the Third Proportional to 210,114 and 315,386.16

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Solution

The third proportional to 210,114 and 315,386.16 is: 473,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,114 : 315,386.16 = 315,386.16 : x
  2. Step 2: Convert to fraction form
    210,114/315,386.16 = 315,386.16/x
  3. Step 3: Cross multiply
    210,114x = 315,386.16 × 315,386.16
  4. Step 4: Simplify right side
    210,114x = 99,468,427,554.15
  5. Step 5: Solve for x
    x = 99,468,427,554.15/210,114
  6. Step 6: Final answer
    x = 473,402.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.