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Finding the Third Proportional to 163,370 and 260,127

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Solution

The third proportional to 163,370 and 260,127 is: 414,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,370 : 260,127 = 260,127 : x
  2. Step 2: Convert to fraction form
    163,370/260,127 = 260,127/x
  3. Step 3: Cross multiply
    163,370x = 260,127 × 260,127
  4. Step 4: Simplify right side
    163,370x = 67,666,056,129
  5. Step 5: Solve for x
    x = 67,666,056,129/163,370
  6. Step 6: Final answer
    x = 414,189.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.