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Finding the Third Proportional to 153,547.50 and 332,244

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Solution

The third proportional to 153,547.50 and 332,244 is: 718,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,547.50 : 332,244 = 332,244 : x
  2. Step 2: Convert to fraction form
    153,547.50/332,244 = 332,244/x
  3. Step 3: Cross multiply
    153,547.50x = 332,244 × 332,244
  4. Step 4: Simplify right side
    153,547.50x = 110,386,075,536
  5. Step 5: Solve for x
    x = 110,386,075,536/153,547.50
  6. Step 6: Final answer
    x = 718,905.07

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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.