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Finding the Third Proportional to 165,784 and 357,776

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Solution

The third proportional to 165,784 and 357,776 is: 772,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,784 : 357,776 = 357,776 : x
  2. Step 2: Convert to fraction form
    165,784/357,776 = 357,776/x
  3. Step 3: Cross multiply
    165,784x = 357,776 × 357,776
  4. Step 4: Simplify right side
    165,784x = 128,003,666,176
  5. Step 5: Solve for x
    x = 128,003,666,176/165,784
  6. Step 6: Final answer
    x = 772,111.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.