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Finding the Third Proportional to 145,547.75 and 220,783.63

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Solution

The third proportional to 145,547.75 and 220,783.63 is: 334,910.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,547.75 : 220,783.63 = 220,783.63 : x
  2. Step 2: Convert to fraction form
    145,547.75/220,783.63 = 220,783.63/x
  3. Step 3: Cross multiply
    145,547.75x = 220,783.63 × 220,783.63
  4. Step 4: Simplify right side
    145,547.75x = 48,745,409,068.14
  5. Step 5: Solve for x
    x = 48,745,409,068.14/145,547.75
  6. Step 6: Final answer
    x = 334,910.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.