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Finding the Third Proportional to 144,901.13 and 314,752.50

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Solution

The third proportional to 144,901.13 and 314,752.50 is: 683,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,901.13 : 314,752.50 = 314,752.50 : x
  2. Step 2: Convert to fraction form
    144,901.13/314,752.50 = 314,752.50/x
  3. Step 3: Cross multiply
    144,901.13x = 314,752.50 × 314,752.50
  4. Step 4: Simplify right side
    144,901.13x = 99,069,136,256.25
  5. Step 5: Solve for x
    x = 99,069,136,256.25/144,901.13
  6. Step 6: Final answer
    x = 683,701.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.