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Finding the Third Proportional to 108,507 and 237,702

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Solution

The third proportional to 108,507 and 237,702 is: 520,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,507 : 237,702 = 237,702 : x
  2. Step 2: Convert to fraction form
    108,507/237,702 = 237,702/x
  3. Step 3: Cross multiply
    108,507x = 237,702 × 237,702
  4. Step 4: Simplify right side
    108,507x = 56,502,240,804
  5. Step 5: Solve for x
    x = 56,502,240,804/108,507
  6. Step 6: Final answer
    x = 520,724.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.